Manny = stood up zero pedal strokesidk if its really that loose. wheelie = pedaling, manual = no pedaling. bmx bikes you can't sit and manual, so its a moot point there.
Wheelie = pedal force holding the front wheel up, stood up or sat down
coaster wheelie = sat down manual using the rear brake to help
brakeless mannies are the purest form (and hardest) of all.
you totally can coaster wheelie a BMX. it's a kinda old skool trick these days tho.
Fat bike wheelies are almost cheating as they create more resistance to pedal against (like pedalling uphill) and all that tyre float fatbikers get a hardon over actually makes the balance point/sweet spot a greater lean zone.
plenty of my Fatbike friends can wheelie their fat bikes but not a normal bike.
Ebikes are quite hard to manual as the assistance takes away some of your feel and muscle memory doesn't work the same. But they're much easier if you're a decent brake dragger.
I can manual and wheelie pretty far but don't use my rear brake when I manual or wheelie. Just never learned to.