Hello Bob,
What you say is correct however there are a number of provisos to welding 300 series stainless steels.
-316 is susceptible to carbide precipitation when welded, not so 316L
-The application involves high temperatures, and as above carbide precipitation can be a problem here, not so 316L
-Full corrosion resistance can only be achieved in 316 after post weld annealling, not so 316L
The application involves high temperatures in the presence of strong oxidisers and is welded. Ergo 316L.
316L is a bit easier to machine (well, ok, not much…)
Carl.