So are you posting on a Navy forum expecting people to tell you to lie to the Navy? The right thing to do is to tell your recruiter to stop being lazy and write any waivers you need for your medical issues. If the medical issues you have are not issues which require waivers then your recruiter should know that, and should be honest with you.
Once you get to basic, assuming you graduate without any medical issues, if the staff at RTC (Recruit training command) decide you need a waiver to be a nuke, they will hold you at RTC in a temporary holding unit until it gets routed. This is kind of a pain, and you're treated like a boot camp recruit for the weeks or months until you get your waiver. I've never heard of anyone needing a waiver for broken wrists though, the reasons people usually stay on hold is things like Anemia, cancer, heart murmurs, spinal injuries, inhalers, that sort of stuff. Chronic conditions that make you a higher risk to go on a deployment.
If you leave RTC and go to A-school down in Charleston, and they realize you need a waiver to be a nuke, they will just put you on a hold period after you graduate A-school and you'll wait until you're cleared to go to Power school. Same with power school to prototype and prototype to the fleet.
I've never had a recruiting job in the Navy, so I don't know all the acceptance criteria, but if your recruiter is telling you a waiver is not required, it probably isn't.