i broke my wrist while in highschool (9 years ago) and as captain of the team, I decided Id get a wrist strap and bowl anyway when my cast came off. While it helped at that time, I became very reliant on it.
Fast forward 9 years later, I am still using the same wrist strap. I cannot bowl without it now because I just don't keep my wrist bent without it anymore. I wish I never used it. I also believe its the reason my fingers swell so much during a series of games. I would recommend strengthening your wrist over getting a strap.