But it looks cool and this is not a reality simulator.
Does it though? I can't speak for all weapons since I mainly like to play casters so normally use a staff. But those staffs pretty much always gets animated as either being glued to your back, or even worse, slightly hover an inch away from your clothes. I wouldn't mind a caster having a hovering weapon but can't that hover beside them instead?
Now that I think of it, I wouldn't mind casters carrying their weapons a la King Harlequin in 7 deadly sins. Heresy I know. But I want my sorc to travel around with a pillow, ok!