No, no. If the bristles go floppy it might actually work as a mop, albeit a horrifying one. That would mean it's not entirely useless. However, flaccid or not, I think you'll agree that it would be a pretty terrible broom, and thus deserves its moniker of The Useless Broom Made Entirely Out Of Dicks. If it goes soft, if anything, it's more useless. Which is even better!
Also, the Order of the Dickbroom does not in any way support or approve of individuals whose discharge smells even faintly of bleach. If you are such a person you are strongly recommended to seek medical help as soon as possible.