Ribbon Tweeters and Animal Hair

I recently purchased a pair of Ascend Sierra 2-EX (with RAAL ribbon tweeter) and have been keeping the grills on in fear of issues with pet hair. I have 2 cats and a dog. 

I hate to cover up what I think is a unique looking speaker and beautiful woofer but want to keep them protected. Am I safer to keep the grills up, or is that being overly cautious?