Filson themselves do not rewax their twill or tin cloth luggage.
Too fiddly, not cost effective or, as mentioned by tim y, maybe they do not recommend it for some reason, such as they are not oil finish items ?
The Filson website shows related items. Obenaufs LP is shown for the briefcases. Filson wax for oil finish jackets and pants. Thinking about it for a short time, Filson do not supply a tin of the wax with the luggage as they do with their oil finish jackets. The instructions with the tin state "clothing and "garments" specifically.
People have tried it before on this forum, never seen before and after images though to see if there are changes in colour or the dry finish. If you do reproof with the oil finish wax maybe take some photos and let us see the results?
The LP is used to treat the bridle leather trim and straps. It's not used on the material. Straight from Filson's website on the material used to make the twill luggage. "Made from 22-oz. 100% cotton oil finish Rugged Twill with 100% Genuine Bridle Leather. "
I own a fair amount of Tin Cloth coats and jackets. Completely rewaxing a coat takes hours of time and a couple or few tins of wax. The luggage is even harder to do and a 257 can eat up two or 3 tins of oil by itself. I've dealt with Filson for decades and it's only in the last year or so have I been hearing garbage from customer service reps like the BS above about rewaxing your oil finished goods with something other than the Filson oil finish wax.