Maybe try distorting the cap oval to slip over the pins with a large pair of channellock pliers. If you do destroy the cap, replacements are available of the threaded type. Obviously you would have to drill the holes then. Possibly try a little heat. The pins should slide out but after 90+ years may have some corrosion. Mine were very loose but not original as you saw in my video.
As the last resort, if you destroy that cap, then the shifter will lift out. You can then drive the pins out from the inside. You could either rework the existing cap if you grind it where the pins are or just order another cap. I believe Snyder’s has them, but they’re the threaded one and then just buy some quarter inch clevis pins to put in there similar to the repair I did in the video.
If you have a small Dremel and a very small burr, like a carbide burr attached to a Dremel. You should be able to grind just the tip of the pin off so the cap will pop off. That’s probably your best bet if you have access to a small Dremel.
Since you would be only grinding on the outside edge of the tip of the pins nothing will get inside the transmission.