You cant mitigate an ae unless its a melee ae. Which most arent.
You are correct most AOE are spell based, that said mitigation adds to both melee and spell thus it works on ALL AOE.
You're thinking about physical absorbtion crystals (melee mit only)
Protection adds general mitigation = mit vs all. Hence it works peachy on AOE.
Yeah I understand the dynamics of using protection crystals (hp/energy trade off for mit, hps also range further than 230) etc. One of my alts is L50 leatherworker.

I just didn't do the math to see how many points of hps gets converted to how much %mit. Its likely to be a static value regardless of what piece you use. I just didn't take the time to peg it exactly, might do that this weekend just for purposes of accuracy. /shrug
That said I've often considered the merrit of making a few peices of spell absorbtion (head peice etc.) to use in conjunction with protection just for situations where you know in advance you'll take heavy spell damage. (spell or melee only mitigation gives a fair amount more %mit per gear point than general mitigation does, and as you pointed out most AOE are spell based so it may be preferable to skip general mit in favor of spell mit in APW).
Of course...its damn annoying that its essentially impossible to get med crafted gear without some worthless stats on it other than pariah's for monk. Which of course loads us up primarily on dex...there isn't a good way to get a large amount of str/int without also taking on vit/wis which does us precious little good.
Edit took a little time. 1point of general mit = roughly 2.7ish hps And 1point of mit = roughly .027ish% mit.
So roughly 100hps converts to 1%mitigation. So my initial guesstimate was pretty off.
So yeah takes A LOT of hps to break even.

Still I like it.

Incidentally crit bonusgive slightly less bang per hp spent trading at about 1 point per 3ish hps or roughly 111hps per 1%crit.
Specific mitigation (melee or spell) gives a much better return per hps sacced, but also (obviously are not quite as versitile).
Outside of APW I'd say melee mit is vastly more useful, but inside I woud lean towards spell mit being more useful.