I'm not sure I agree with the first part of your statement. At that point in the game, you have 30? cpt base? And you are 10t? in between SP's? And you will have only 1 extra pre-FS SP?
To get EE in time for four GP spawns you are taking
at least three SPs that I am not taking before Constitution. What this means is that you are taking three extra SPs at the non-discounted rate, plus giving up about 1000 Culture. You're also giving up 500-750

that you could have spent on Research Agreements unless you got lucky with barb hut spawns, in which case you're only out 250

.
The problem is that the expected value on EE doesn't come anywhere near to making that up. If you snag an extra GE for an early Sistine, you'll cover it. If you snag a Great Artist early enough, you'll come close. But a GS is strictly worse than a Merchant until about turn 130, and there's always the possibility of pulling a useless GG/Khan.
Outperforming fast Constitution/FS and Rationalism (two good, quick GP spawns that are better than 2x GS) with EE is a less than 50% proposition. The math starts looking a lot less ugly on Deity, where the

investment in an ally doesn't hurt as badly and the

returns on Scholasticism are much greater. I'll grant that the absolute fastest possible theoretical time would require EE, but you're already chasing so much stuff that's out in the tail of the distribution that lowering the probability of having everything come together doesn't seem like a hot idea.