Kayak Registration

Going up to Eagle Lake next week with my wife and I know the winds pick up in the afternoon. She and I have Prowler 15s.
Planning on attaching a couple of small electric trolling motors to my kayak (Sevlor) for trolling and to get us back if the wind gets nasty.

Was wondering if I should bother registering the kayak. Understand its required if one "motorizes" the kayak. Does fish and game even care?

Your chance to get a ticket is low but I would register for peace of mind.