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a 13* egg from 101 -> 102 was 15~20% of its bar, the rest are uh, not that great

VHAQ rare banthers (lv60) dropped me 2 10* wonda eggs. as did the train boss in tokyo in XH (250% rdr ofc).

I'd say FC aq is a good place to farm for the support eggs, quartz seems to drop a...

Shifta sympathy seems to only work on anything thats classified a boss, mine procs fairly often on anything thats a boss, but mobbing it never works

you'd want to feed it s-atk stuff as a prio, but it seems each pet and rarity rating has its own individual cap per stat, so it doesnt strictly matter what you feed them/

Also pet limit break? do...

Saw somewhere that a 9* pet has a cap of 100 for hp and 80 for other stats, my 13* wonda breaks the 80cap at least, still working on it ^^;...

generally:

Native bosses drop the wonda eggs up to 12* depending on difficulty (13* needs ot be confirmed)
Dragonkin bosses drop the support pet eggs up to 12* depending on difficulty
oceanid...