I don't see why not. I'm definitely going to try it for the same reason you're considering it. I get my amp Thursday. I'll let you know if it blows up upon use of the 5751s.
FWIW - I have a Berning Micro ZOTL I'm using as a preamp right now. It comes with 12AT7 tubes, but I have been able to use 5751 and 12AU7 with no issues. The 12AU7 lowered the gain the most. I may even try 12AU7 tubes in the RM-10.