Well, as you may know, skilled players tend to carry their own mechanical bridges with them that suit their playing styles that also gives them more height options and maneuver options than the typical ones you see in pool rooms. If you do some research you will find that they have become quite sophisticated over the years and very different from the ones sitting under the tables.
With your own bridge head that you're used to, you will increase your percentages of shooting normally, but even so, you will be somewhat limited. You will have to stay on the conservative side when using a bridge.
However, I will tell you a bridge story --- I first met Danny Barouty in college --- in the Student Union pool room, to be exact. We were both getting ready to play in the college 14.1 tournament to qualify for the ACUI regionals and then hopefully make it to the nationals that year. We all felt that Danny was a shoe-in to win the college tournament men's division as he was already running hundreds by then. There was one guy who ran 60s, but Danny was a much smarter player.
About a week before the tournament, Danny broke his bridge arm. He showed up with his arm in a cast all the way to his fingers in a bent position with his elbow out. But he was determined to play in the tournament, so he cut off the end of a pool cue and put a pool room plastic bridge head on the end, and tied the string to one of his fingers. He practiced for a week using the bridge on every shot. He'd shoot and then flick his arm up in the air to get the bridge head off the table. It was remarkable.
He didn't win the tournament, but he barely lost in the finals by a few points, and even had a few runs in the 30s.