Do it but keep any old parts. This is how a few guys I know have done.
A pard actually deleted a 16 Ram and dealer wanted it back 2 years ago. He told em it was deleted and he had old parts, they said bring it in and let's trade.
Deleting may actually make it harder to get rid of even if you plan on a private sale.
Gives new buyer the option to stick everything back on and doesn't paint you in a corner when that day comes.