I have owned 2 T/C rifles, both of which were Hawkens. One was a caplock and the other was a flintlock. Both locks were pretty good right out of the box. However, I chose to lightly stone the seers on both to make them as smooth as I could. I used a fine ceramic stone and worked very carefully so as not to round the edges of the trigger seer or the notch in the tumbler. I flushed each part with automobile brake cleaner before reassembling. I then applied a very light coating of an excellent gun lubricant. It made a noticeable difference in the smoothness of the locks.
I have heard of, but not tried, folks achieving the same thing removing the lock from the gun and putting toothpaste in the assembled lock. Then just working it over and over while watching TV. Toothpaste has a very fine abrasive in it and will polish the lock internals. The abrasive is extremely fine and will take a good bit of time and patience but it is reported to work very well. It, too, must be thoroughly washed out of your lock, and the lock lubricated, before returning it to service.
Lastly, one can do as you have done and just shoot it until the seer and full cock notch have worked themselves smoother then when you first got the gun.
So, yeah, you are quite likely to see an improvement in your lock over time as the parts wear in but there are ways to speed this process as I have listed above.