Oh, sure, they'll cycle (most of them) and you may even be able to get them up to velocity, but your efficiency will suck.
I made it too general and didn't feel like typing a giant write up like you did, but my info (if I added more information) is correct so you don't have to be a snob about it.
Markers have a factory recommendation on what to set your reg pressure at (tank). All you really need to know is that if you go with the Ninja adjustable, you should be fine with almost every marker out there.
Category 1: Some guns need a high input pressure and will not work properly with a low one. (some older e-guns, almost all mechanical ones, every pump that takes a tank except maybe the Thumper and very low pressure cockers)
Nearly all guns will run correctly on a high pressure tank.
Only some guns run properly on low pressure.
Almost no guns actually need a low pressure tank.
I run my cocker on lp and have shot numerous pumps with a slp tank and still work fine.
Stock 2k, pre-2k and most after market valves work best at 300+ psi. There are a few that sweet spot in the 200s. CCI, AKA, I think the maddmann rocket valve does too. The latter should be fine with a LP tank. The former will end up with lousy efficiency and at high rof, shootdown.
The valve in your orracle is pretty high flow (assuming its stock). You can probably get it to cycle all the way down to 190~ psi. You'll have a crazy long dwell and terrible efficiency, but it'll cycle.
You really need a tank reg to output at at least 200 psi above the gun's ideal operating pressure. With LP tank regs outputting at 400-450 psi most of the time, you're basically stuck with modern electros if you want a gun that will be really happy with those pressures.
Regardless, unless you know you're going to be buying one of the few guns that wont' work with an HP tank, buy an HP tank. They just work with so many more guns there's no reason not to.