If the breaker plate is worn it will affect dwell angle. The worn plate will affect timing as well because the plate will still move when the plate moves. Normally there is no play at all and just a smooth movement. You can adjust some of the play out but if it's really worn it's not going to work right. Only about 1 in 10 units will be worn this badly.
There will be some sideways pressure from the points as they push against the cam - that's normal and the whole distributor is designed to compensate for that. If there's no wear in the unit it will function prefectly and can spin up to 6,500 RPM without the points floating. This is generally more than enough RPM for the average driver.
I like to see them hold dwell up to 6,000 RPM but I won't throw one away if they only work well up to 5,500. Most drivers are only going to run up to 4,500 or less during normall outings and a small drop in dwell angle won't be noticed at high speed anyway.
If the main shaft is worn and the breaker plate is worn there's little you can do with a mess like that. On good units I can easily drive several years on one set of points. It's all about wear....
Not all cars are 113's after all....