We silver chloride paper users vary the contrast with a water bath. No advantage to MG papers there.....unless you need a grade 5!
Silver chloride papers have a very long shelf life.....advantage silver chloride
The OP is using a 6x7 negative, so a 100 sheet box will do for what, something like 1000 prints. Today's MG papers will likely go bad before they are used up. Just something to consider.
I've never tried lith, so I can't answer your question there.