The Youtube video for Game 6 is up for easy rewatch.
An interesting start.
Darius blazed through the tech tree while Mehmed and especially Julius stumbled at the start.
On Turn 61,
Julius and Willem were Pleased with each other with the +1 Peace bonus included.
That means +2 or +3 hidden diplomacy points.
Right away we know that their peace weight difference was not 2.
Dutch were 1st on scoreboard and Rome was 4th, so no +1 hidden "Work together" bonus.
The bonus from peace weight difference must have been +2 or +3 for them to be pleased with +1 visible diplomacy.
Just to clarify for Game 6, I think on turn 0 Julius and Willem in both directions have:
1) A 22.2% chance to start the game Cautious with +1 diplomacy
2) A 44.4% chance to start the game Cautious with +2 diplomacy
3) A 33.3% chance to start the game Pleased with +3 diplomacy
Being Pleased at the start of the game would indicate they both rolled a peace weight of 4, both rolled a peace weight of 5, or both rolled a peace weight of 6.
If they start the game Cautious with each other, on Turn 60 with +1 peace bonus they should have decent odds to get to Pleased at that moment.
However, they can both still plot war against each other at Pleased.
Willem more so than Julius.
What other diplo factors will there be?
Well, Julius Caesar is a nut job over border tension.
He can go up to -4 diplo from
"our close borders spark tensions" if another civ is his land target and steals 20 or more big fat cross tiles from his cities with superior

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For the hidden diplomacy beyond peace weights in Game 6:
1) All civs in 4th, 5th, and 6th place on the scoreboard will give +1 hidden diplo to each other.
2) Brennus will give -1 diplo if he slips into 5th place towards the civ in 1st place.
Brennus will also give -1 diplo if he slips into 6th place towards the civs in 1st and 2nd place.
3) Mehmed will give +1 diplo to any civ 3 or more places behind him on the scoreboard.

This one might matter since he won't plot at Pleased and should have a high population.
Julius was guaranteed to be Pleased with Saladin on Turn 61 due to +1 Warmonger respect.
The AI tend to put their knives into neighbors they share a lot of border tiles with.
Is there a reason Rome ultimately picked Willem to attack and not Saladin?
Let's check it out.
On Turn 68, Julius founded Ravenna on Iron, but did not connect it to his capital with road for a while. (With Stonehenge all cities popped borders after 10 turns)
On Turn 74, Rome founded Arretium to the northeast of Rome.
This caused Saladin to touch 8 Roman Land Tiles for an instant -1 border tension. (Saladin became a Land Target for Julius)
Arretium also was missing 3 big fat cross tiles to Saladin's culture which was only 1 tile away from escalating the border tension to -2 diplomacy.
This
probably caused Rome to stay at Pleased with Saladin unless they rolled a peace weight difference of 2. (+1 peace, -1 border tension, +1 warmonger respect, +1 from two peace weight difference would be Cautious)
Yup, Rome was still Pleased with Saladin. So 0 or 1 peace weight difference.
Turn 74 was the turn that Darius started plotting on Brennus whom he was Annoyed with.
Julius was a Land Target for Saladin with the long shared border, but
Saladin was Pleased with Julius and could not plot war even with Bronze hooked up.
Turn 78 Rome hooked up Bronze as indicated by Cumae starting an Axe.
Julius started rolling for war! 
This is also the turn Ravenna popped borders.
A disaster for the Dutch, this caused Willem to touch 8 of Julius' land tiles, and Willem became a Land Target for Rome with -1 border tension diplo.
This also caused Willem to steal 4 big fat cross tiles from Ravenna escalating the border tension to -2 diplo.
With Willem in 1st place on the scoreboard,
this 1 event caused Julius to become Cautious with Willem on Turn 78 since Julius is such a nutjob over border tension.
There was just no Warmonger respect between Julius and Willem, unlike with Saladin.
Turn 83 Saladin border pressure captured a 4th tile from Julius increasing border tension to -2. This dropped Saladin to -1 visible diplomacy Cautious with Julius?
**Edit**
Ahahaha, Julius had a matching Peace Weight with Saladin!
On Turn 199 and Julius had +5 visible diplomacy Friendly with Saladin which means the hidden diplomacy had to be +1 Warmonger Respect, +1 from both being in the bottom half of the scoreboard, and +3 from peace weight difference of 0.
On Turn 83, Julius was -1 visible diplo Pleased with Saladin!
Turn 86 Julius adopted Willem's religion.
Turn 86 Julius was +0 visible diplo Cautious with Willem (+1 peace, -2 border tension, +1 same religion) which ruled out +3 from peace weight difference.
This means
Julius and Willem had +2 hidden diplomacy bonus from peace weight difference, so
their Peace Weight Roll was 1 apart from each other.
Turn 86 Julius was -2 visible diplo Cautious with Saladin after the religion change (+1 peace, -2 border tension, -1 different religion) (The AI always starts out 1 away from their max different religion penalty and reaches the max after 5 turns)
Bad news for Saladin dropping from Pleased to Cautious with Julius Turn 86.
Turn 87 Julius was plotting war.
If Julius started plotting war between Turn 78 and Turn 85, it was 50% nowar with Dutch and 90% nowar with Saladin.
If they were both valid war targets that failed their nowar rolls, then the point total for being a juicy target got doubled for the Dutch for being Cautious instead of Pleased.
If Julius started plotting war on Turn 86 or Turn 87, it was a coin toss between Dutch and Arabs I'd say.
Result: War with Willem not Saladin.
