Not permanently. I understood the question to be if you don't run the check will the ability to rebuild be compromised in the unlikely scenario of a rebuild being required.
Until you run a parity check after an unclean shutdown, the answer is that you just don't know 100% if the parity is properly in sync with the drive. It is however always a big question / gamble as to whether or not it finds a sync error. If it doesn't, then the check was in vain, but at least you know. If it does, then it wasn't in vain, if a rebuild is necessary, then everything will work correctly.
If you don't run the check and it would have found errors, then a rebuild will still work, but you run the risk that some file(s) may be corrupted.