Bad idea, with this people will make it confusing for new people not knowing which is what.
If there is a 2nd 32nd, for example, they will only try to steal our new members and "ride on our shoulders". Its the only reason someone would make a copycat regiment or they will try to ruin the name of the regiment.
This shouldnt be a discussion, its the internet and people will only use this to troll so no point in allowing it. Its not difficult to find another name, there are thousands of numbers you can use, find anotherone of your liking.
Edit: for example if you really want to use 32nd be french and use 32e or if there are austrians/prussians/russians use their equivalents. Choices are almost endless.