Two Flints and Tuolumne Lawman,
I'm not sure if this is on point or not, since I use CH-dies, but here it goes. Early on, I had lots of problems with loose bullets when using a .512 bullet and a .512 expander plug. When I switched to .515 sized bullet, I ordered a .515 expander plug, but unbeknownst to me they sent a .517 plug. Didn't work too well! However, once I used the .517 plug only to barely flare the case mouth, so as not to shave lead, and annealed my much used Starline brass, I now have good tight bullets that seat into the brass smoothly with no swaging or shaving of lead.
I also found that with only using the full length resizing die and no expander plug, a .512 bullet could be finger-seated. It was too loose. Hopefully, that is not the case with your Lyman dies. I sometimes wonder if I wasn't send 56-50 dies for the original round and not the Taylor's. GG