And of course it is your software, do as you wish.
Registration is backup proof of ownership of very expensive software.
I have fielded too many posts over the years about lost emails, receipts, and serial numbers or even traveling somewhere and needing to re-enter the number.
"My stuff was placed in storage at my cousin's place three states away, I need my serial number."
"So, no problem, go under your account, My Products and your serial number is there, where you registered it"
"Uhh...I didn't register my $700 Photoshop. Is there any other way?"
"Yeah, road trip. Enjoy your stay while going through everything."