I am not sure if my question was answered, if it was I seemed to miss it.
Not using a Luber-sizer, can you lube the bullet before sizing with a die and then pan lube? If so will any lube work, like the lube you are making for the pan lube?
I use the Lee push through sizer dies for 9mm/38 and 45 and I size every bullet out of my Lee 6 cavities and Lyman 4 cavity 45 mold. With the Lee molds, I found a "fat bullet" every once-in-awhile so have made it a practice to just run everything through for consistency's sake.
I spray a very light coat of Hornady "One Shot" case lube on the bullets (one can will last me around 20,000 bullets), tumble them a bit in a Cool Whip container, size them and then tumble lube with White Label "XLOX" (replacement for Lee Liquid Alox) thinned with low odor mineral spirits. Less messy than lubing with XLOX, sizing and re lubing with XLOX. For the amount of bullets I cast and shoot, pan lubing is out of the question and tumble lubing is fast and saves me lots of time.
I've probably cast 60-70,000 handgun bullets and have used this method since day one. 40 years ago, I had a Lyman lube sizer. I much prefer the Lee sizer, LLA/XLOX system.