It MIGHT be OK for the seals in the 1377, but don't try it on the springers. Pumpers and CO2 guns have different types of seals that springers.
I have a Gamo Shadow (similar to the Quest) and a couple B3 underlevers and I have not needed to oil the seals on any of them. I use a little gun oil (Remoil - also at WalMart) on the pivot points, but never have needed anything on the seals.
Good luck with the new guns!