I think bear grease would work fine, but I use 30 wt because that's what Dillon recommends. I have most of the POL products known to common man (or had in the past), and use some on all kinds of different things, and my take after 50 years is that if you use something, you're probably o.k., but nothing will torpedo you. I use the expensive grease Mercury Marine recommends on my steering controls, though moly would probably work, because I spent a crap-load of $$ on that monster and it ain't gonna break because I know better than Mercury, or because I'm to cheap to spend $10 on grease for a $10,000 motor.
And finally, I have never had a problem with Dillon customer service (the current overload situation notwithstanding), and all I have ever gotten is complete and total satisfaction to the point of being embarrassed to accept free parts sent "just in case." Some are as good (RCBS comes to mind), some are not so good, but I haven't encountered any better. If your press breaks or becomes inoperable because of the problem, rest assured Dillon will make it good.
My 2 cents...