As a work-around, you could put all your frequently-used symbols in a text (.txt) file and have that text file called up with a shortcut command. It should be a simple LISP to do that. That would save you having to hunt in the right-click menu.
As for me, I have a text file with all sort of symbols I frequently use that can be pulled up with a keyboard shortcut no matter what program I'm using. If you make a shortcut to that text file you can right-click the shortcut and assign a shortcut key on the Shortcut tab (about halfway down).
Work: AutoCAD 2022.1.3, Windows 10 Pro v22H2 64-bit, Intel Core i7-8700K, 32GB RAM, Samsung 960 Pro SSD, AMD Radeon Pro WX 5100, 3 Dell Monitors (3840x2160)
Home: AutoCAD 2022.1.3, Windows 10 Pro v22H2 64-bit, Intel Core i7-11700, 64GB RAM, Samsung 980 Pro SSD, NVIDIA Quadro P2200, Dell Monitor (3840x2160)