I have both Starline and Lapua that are used in the same 308 rifle. The resizing effort is
slightly ...and I mean
slightly....more for the Lapua cases. This is with a small Partner press...not exactly a big leverage unit. The die is a Redding Type S.
The Lapua LRP brass I have measures about .0004 bigger @ .200 ahead of the extractor groove than the Starline. If you haven't measured your cases using a good .0001 micrometer, this is likely one reason you may feel some extra effort.
IME, using a case lube not designed for sizing cases is counter productive. If you're only moving the brass a small amount, you might get away with it. If not, the result is going to be a lot of gas. Imperial has always given me good results.
Good shootin'

-Al