I picked up a pack of LED lights from Lowes today. $10 for 5. They use replaceable button batteries that are easily accessible via a screw on back that also has an adhesive pad, are 16 lumens, and about the diameter of a quarter.
I think they'll work great in small dark places in the boat.
I've put a number of adhesive puck lights on my 23, although somewhat larger that use three AAA batteries. They really help and are much more effective than the stock lights that came with the boat. Like the size of those that you've shown, but don't really care for the "button" batteries, seems like they always develop a film and have to be cleaned with alcohol regularly. I did install hardwired (to the 12 volt panel) red night vision lights the size of yours in both cockpit lockers and low in the cabin, so I can see without losing my vision at night.