I have never had any trouble with the cheap converters, but a lot of people here have complained about them either not working at all, or working improperly.
Just try what you have, and see. A Model M draws quite a bit of power, and you might try a powered USB hub if you have one.
Otherwise, every rig is different, and trial and error will tell you where you stand.
PS - I don't game so my needs are simple.