I know it's not a help in this particular post, but when buying a jon, ask the dealer of manufacturer if it will float level if it's swamped. If it will, I guess you don't really need a bilge pump.
That said, I've done a little bow fishing over the years. Guy I went with one time had an 18x8 Diamondback airboat with a 454" chevy, it was a tournament which he fishes a lot. Anyway, the boat obivously had a generator to run the lights but he also had a 3" gas powered trash pump in the bottom of the hull for that "just in case" type thing. It'd take a heck of a hole to justify needing that much bilge pump, but chances are excellent that any hole smaller than 2" diameter wouldn't sink it. And yes-it would sink, all the way to the bottom. There is zero floatation in it.
Had electric bilge pumps in all my boats except the current one. The only time I needed one was during a rain storm, about 5 miles away from the ramp with a 6 hp motor. 12' boat. Water was filling in fast because it was a frog strangler type rain, about like you see during a tropical storm, well because it was a remnant of a hurricane. Anyway I turned the pump on and it immediately blew the fuse. Put another fuse in and popped that one. Only had one other fuse, and knew right away that if it's blown two that quick that something is either shorted or the motor is shot. Pulled the pump apart the best I could and it was locked. Apparently it had not been used in so long that it was stuck. Tried to free it by turning the impeller by hand and broke the impeller. Point being, a bilge pump isn't always going to be 100% reliable when you need it. But sure better than not having one at all, if you have the space for it. The one boat I had ('glass "bass" boat with 90 hp) it was almost a necessity to have a pump in it since access to the drain plug was non-existent. Stand on your head type deal. I always had to try to remember to pump the water out before I headed to the lake.