We have a standard U-Line RV/Marine ice maker on board - they make two sizes with the primary difference being one holds 12 lbs of ice in storage (BI-95) and the other 25 lbs and is 2" wider (BI-98). I have the smaller one, and I installed the larger one last year on a friends houseboat. Buying from an RV store, not a marine store will save you a few hundred $$ for the same unit and don't buy the stainless steel unit as it's likely not needed for a LP houseboat.
We couldn't live without it in the summer, BUT, not joking, it uses over 50% of the overall amperage required for our entire boat in the summer (a large cruiser, not a HB) as it's always making ice as we are always using ice when more than 2 of us are onboard!
If you have a good inverter system with lots of amperage available, and you run your genset for air conditioning already a few hours a day, it probably doesn't change much for you. But if you don't usually run your genset except to charge house batteries, now you'll need to charge your inverter batteries longer, which may require running the genset longer. (and you may need a bigger inverter battery bank for between charges).
If you currently don't run your air conditioning, and you don't have an inverter, adding the ice maker will require nearly 24/7 genset time - it's unlikely you have this setup, but just saying....... that would be some expensive ice!
There are some 'tricks' I've learned over the years to maximize ice making while minimizing having to run the genset to charge batteries, but I won't go there now as it may be overkill for the question.
I couldn't imagine NOT having an ice maker on our boat (although I boated LP for years without one.....when I was younger and don't recall missing not having ice! But back then we also ate soup for dinner out of the can, and pooped in a 5 gl bucket, so I guess life on the lake has improved more than I thought!).