I don't know, never been served a search warrant.
Obviously this isn't legal advice, but it's what defense lawyer friends have suggested if it ever comes up.
I think that popular video about "never talk to cops" mentions something like it too?
I assume if they don't wait, it helps your court case. They could always go with the "probable cause" argument, but again this can help your case if you can prove they didn't have actual cause.