Been there, done that - and survived
That said, it’s the most terrible experience to frag it, because you do end up splicing or injuring heads in the process, but they all do survive, even if it can take awhile for them regrow.
The key is to dip them in iodine right after the fragging and following their condition afterwards, if needed - another dip of iodine is usually enough.
I’ve cut mine many times over the years, and I honestly don’t recall any mortalities, even with the most injured heads that fell apart into pieces - it fused back together and regrown.