The 16 gauge will never die. Lke the .44 Special, it is a connesieur's cartridge and a playground for the handloader.
RST was hit hard during the last ammo panic and had difficulty maintaining nventory due to components shortages. They are quite personable and will answer questions on the phone. I call them every month or so to follow up on shells for my 2-1/2 inch Auto 5. The powder supplier they used no longer has the powder RST used to keep pressures low in my 97-year old Auto 5, and they are currently doing R&D to develop loads strong enough to function the gun while keepig pressure low with a new powder.
If you really want to go down the rabbit hole go to 16ga.com.
Google Mike Orlen, a gunsmith in Amherst, Mass. He will lengthen forcing cones and return your barrel/barrels in a week or so. He is also able to gauge thickness of the barrel steel if there is any concern about pressure. As mentioned somewhere above, the greater pressure of the 2-3/4 inch shells is of minimal concern. Rather, the long shells in short chambers increase felt recoil, which is concern for 100-year-old wood stocks.
Good luck.
And jeepers, after all this short chambered 16-gauge discussion, nobody has posted any vintage 16 gauge photos. For shame!
A Sempert-Kreighoff driling, an Auto 5, an LC Smith Featherweight, and a killer ESS gundog.