Good point! I always enjoy making distinctions and finding places where the plant world confounds us by making things that we gave the same names very DIFFERENT things.
Just like I've never gardened on anything but heavy clay soil, I've never dealt with REAL heat, like down-south heat. CT and NJ could get up to 100 F, but that was seldom, and a cold spring or fall was never more than 2-3 months away in recent past or near future.
Anyway, I never tried any of those peas you named. Are they green pods, green peas, very sweet, and eaten fresh? Or are they dried and eaten like dry beans for soup? I know that even English peas can be dried and saved for soup (but what a waste!)
I've also heard "shelling peas" called "English peas", to distinguish them from mangiatuto peas ("eat-the-whole-thing").