Yep, removing the end shake will increase the barrel-cylinder gap. The gunsmith will make sure that nothing he does will increase the gap beyond specs. It is also possible to decrease the gap and the end shake by shimming the center of the extractor, but that will increase headspace. All those things are the result of wear, and guns, like any other mechanical device, do wear. Unless abuse is involved, the wear is normal, expected, and is no problem.
The fact is that a small amount of end shake is nothing to worry about, nor is the normal b/c gap or some rotational movement. Some folks are just perfectionists and want their guns to be absolutely perfect, something impossible to achieve except in some la-la land factory run by Santa's elves. They read about end shake, find it (and will find some in probably 90% of revolvers) and want it fixed, NOW! Then they read about rotational play, and want it fixed, NOW! Then they read about b/c gap and it has to be corrected NOW! And so on. Ego trip "A" folks who demand perfection are a PITA to a gunsmith (and any other service provider who comes in contact with them).
When wear becomes excessive, either due to use or abuse, the cylinder or barrel may have to be replaced; ultimately, the frame itself will become unrepairable and a new gun is needed. Most of our guns will never reach that point, but demonstration shooters go though many guns; the sponsor makes sure a continuous supply is available.
Jim