As minniethecat says, it’s not about the power of the compressor side you need to be concerned with. A compressor is basically three things: a tank capable of holding pressurised gas; a means of pushing gas into it and a means of attaching it to whatever you want to inflate or run.
For inflating tubeless bike tyres all you need is a sufficient volume of compressed air in the tank so that when you release it the pressure and therefore speed of release of air is sufficient to “pop” the tyre on to the rim. The speed at which you get the air *into* the tank is, within reason, not important, hence the ghetto inflator which uses a track pump and good old elbow grease as its charging mechanism.
Commercial use compressors need a decent sized motor to replenish the tank quickly enough to cope with the constant usage of power tools and the like.
The 12v rattlebox (if it’s what I think it is) isn’t a compressor but an inflator – it has no storage tank.