The Axiom speaker wire is a fine, high strand count wire that is very supple and flexible, a very nice wire. Monoprice wire is quite a bit stiffer and utilizes much less strands, but you are correct, sound wise there is no difference...... I have both and have flip floped wires and I couldn't hear any difference.
I would suggest if the wire is visible to buy Axiom, it looks really nice with the rubber casing and lays flat like wire should. If the wire is hidden or you do not care if it looks like ordinary speaker wire then buy Monoprice.