Scouts kill Assailants
Disciples kill Flak & Carriers
I ran with Assailant/Sentinel/Skirantra in the 1.18 Vasari vs Advent matchup. Sentinels and fighters (from Skirantra) to kill scouts, Assailants to kill Disciples. Early on, an Advent will just rush your assailants and knock them out, so it wouldn't work in small initial skirmishes, but if you build it up, your area of effect damage takes over and the Advent scouts will be on the losing side of this trade.
Old Skirmishers would fold vs equal cost/supply of Disciples & Scouts.
Agreed; old skimishers were borderline worthless. Pretty much only good for fighting over neutrals since they were pretty much invulnerable to groups of less than 20 command once they had reintegration, but the research cost made that tactic prohibitive if you weren't running a fast-Enforcer build (which had its own issues, as you mention).
Anyways, as I've already said, we're beating a dead horse.
though perhaps Darvin has a regrettable tendency to insist that he gains no advantage from fighting on maps he has designed himself
I don't recall phrasing it that way. I think I may have said that about Fallen Paradise, which is a map so simple there's no conceivable advantage to be had (we never played that one).
It's also the only type of game you can use for balance purposes, as all random team 4s or 5s are skewed by game situation, its just silly to use them for balance.
While I'll agree there are far more variables in a large team game, I wouldn't say they're irrelevant from a balance perspective.
TEC seem to suffer on 1v1 random maps, perhaps because Advent are peculiarly vulnerable to Vasari and not to TEC.
Strongly disagree; TEC can get a pretty wicked economy rolling on a typical random 1v1, and this usually leads into a brutal LRM push which is nearly unsurvivable as Advent (unless you managed to field fast Destras) and easily puts Vasari on the defense. However, it's all downhill for TEC after that, so they better make that initial push count. The other factions will royally kick your ass if they repel this push or recover from it.