Not that this is necessary, but I just wanted to report back that I've not experienced a single issue with loading a saved game, either during gameplay or after restarting the game client, since after I moved to 1.07.
Presumably this is what I experienced in my game, earlier tonight...
The story in that image is that I purchased a few units for Sundapura, with influence, since they were getting attacked, and afterward, noticed those freshly purchased units were just stacking up in the city and not moving out, which I thought was odd. Then, when I finally moved into range of Tarsus, there was a second death stack of units, which did end up dispersing upon me as I got closer. Finally, when I was about to take the city itself, I had to fight three stacked units on the same turn (Immortal / Archer / Archer) before I was able to occupy it.
In a previous game I played, it sure felt like the AI had an
endless amount of troops as I was fighting them in a fairly small area, and it makes me think that the same death stacks accumulated in the fog of war, and then dispersed upon me when I finally got close enough to grab their attention.
Assuming that what I've described above is the result of AI armies getting stuck when trying to fight independents, then I'll agree with JumpShark, in that it seems that the simplest solution, right now, is to keep the AI players from attempting to attack them, and either befriend or just defend, until something else can possibly be figured out.
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The last thing I'll mention is that, as I learn the mechanics of the game I've only been using your mod while playing on Viceroy difficulty, and in the early game, hostile independents will quickly overwhelm me if I don't have 3-5 military units and a commander ready to defend my starting cities. In an attempt to move to Sovereign difficulty, I was being overrun by independents if too many were hostile and I couldn't befriend them fast enough. Now, I know that I'm still bad at this game, but is it your AI mod that is making the early game independents this difficult or is also a vanilla thing? I have no vanilla AI experience to compare to, but the independents seem to be capable of producing 4+ military units of their own, fairly quickly, and be on my doorstep without much of a warning. I might've considered that an AI player spent influence with the hostile independents and had them target me with a raid, but I have no way of verifying if that's what actually happened, or if the AI even considers spending influence on that option as a valid operation when interacting with an independent nation.