Hydrogen peroxide by itself is so dangerous, that I think there is no way that it would ever be allowed inside of ISS. And probably not even inside of a cargo ship to get it to ISS to begin with.
But let's say it was allowed. You assume that the exhaust being nothing but O2 and H2O would be a good thing. But not inside of the ISS or most manned vessels. The H2O means excess water vapor that can get inside of electronics to cause shorts. Or "just" become a potential source of mold.
I am also not sure how well the idea of uncontrolled O2 getting into the atmosphere would go over. In theory, yes, it simply mixes into all the other air onboard. But if there was a freestanding pocket of concentrated O2, that could be dangerous.
Edit - I left out one thing. Since it does "ignite", with combustion to produce the thrust, no way in h*** would that be allowed inside a manned spacecraft. Almost like having a little robot inside that randomly strikes a match at random moments from random ports of the robot's body. NFW.
I really think you'd be better off with electrically controlled mechanical devices, Such as momentum wheels that could rotate the device in 3 axes. The Hubble Telescope does it, not just for efficiency but due to not contaminating itself (especially the mirror and optics) with thruster exhaust.
Inside of the ISS, you could make it "move" by using tiny propellers, more like the tiny electric ducted fans that model planes use, but probably smaller and a heck a a lot less noisy (for crew reasons).
And actually most of this would be reinventing the wheel of some "droids" NASA tested out a few years ago. Here is a link to one:
https://science1.nasa.gov/science-news/science-at-nasa/2006/01jun_spheres/
Well, I thought one they tested long ago had little fans. But it actually uses CO2 to power very small thrusters (which is not dangerous as long as the Life Support system works like it should, and they have a spare Lithium canister or two on board to account for it). No combustion, safe (if not very efficient) way to get thruster control. Even Mercury and Gemini used "Cold Gas" thrusters for attitude control, and many satellites still do (some may use cold gas more for vernier thrusters to tweak a critical orbit than attitude control).
Back to the SPHERE droid tests, they could have been "flown" outside on an EVA. Do not know if they did.
Here's more info, they flew three on ISS:
https://ti.arc.nasa.gov/blog/irg/?cat=6&paged=2
- George Gassaway