I don't know why I didn't think to ask The Hive before, but... now I have.
The situation: I like all the alliums. So does my wife, but unfortunately, her tummy is only okay with a small subset. This isn't an allergy, it's an intolerance, and while it's a pain to work around, at least she's less sensitive than some folks who truly can't eat any alliums at all in any dose without severe reactions.
Leeks? No problem! Raw, cooked, whatever. Chives, also good! <-- Which is weird. I haven't seen a spreadsheet showing what's missing from leeks relative to other alliums.
Onions (all colors), garlic (every variety we've tried, including e.g. elephant garlic), shallots, the whites of scallions... All give her a pretty bad tummy ache. Definitely less problematic if things are cooked way down for a long time, or of course in smaller proportions. A *touch* of garlic powder or onion powder doesn't seem to be too bad, but going heavy enough on them to be pronounced in flavor also seems to have an effect.
Garlic-infused olive oil is okay, but mostly is of the "sweet, roasted garlic" addition than the fresher taste (which is great, but not the only thing one wants from garlic). I made my own once, but the warnings about garlic solids sitting in oil as an ideal botulism playground make me uneasy.
Random fragments of culinary wisdom like removing the central kernel from a clove of garlic, as some Italians say improves digestibility; no change.
We've tried asafoetida (or hing; resin from a giant, er, fennel? which tastes garlicky and is common in Indian cooking), and I think it was okay for digestion, and adds some similar flavors, but there's a pretty low threshold before you're thinking "that's definitely hing, not garlic" and it tastes a little funky.
I don't even know what I'm hoping to find, but it would be great if there was... I dunno, something like Beano is for beans or Lactaid is for dairy, only for alliums. Or other random ideas I just haven't thought of.
I'm glad that leeks are okay. We basically just sub in leeks for all other alliums, and it's sooooooo much better than not being able to do any.