Oh dear. I was hoping folks that keep more meticulous records than I do would chime in....
OK, is it ironic that out of your list, I have only grown Black Krim, Cherokee Purple, Principe Borghese and Sweetie in the past? (I grew something like 75 varieties the year before last, and probably around 50 the year before that....

) my Sweetie didn't do so well last year, but Principe Borghese was a tremendously productive variety. I'd say Black Krim was average. Cherokee Purple was more productive but I had concentric cracking/splitting problems with them. I liked Prudens Purple better, I think. You might also like Royal Hillbilly if you are looking for a productive variety.
I mostly only grow heirlooms and some new cross breeding segregates. I generally only grow them for flavor and am not as particular about productivity except as a curiosity as in multiflora varieties.
I guess that's why some people prefer hybrids when looking for productivity.
6 plants in 4 ft by 4 ft bed is a lot IMHO. I do the same In my 18" high raised bed but
knowing I'm crowding them. I guess I typically space them at about 18" in raised mound wide beds just because Im trying to squeeze in as many as I can. But they are separated by about 24"-30" mulched swales/paths.
How high and far apart are the beds? How do you treat the paths in between? That may also have a bearing. All in all, larger indeterminates and tall cherries do better with at least 24" spacing.
I also grow taller dwarfs and shorter determinates that only grow to 4-5 ft tall, and shorter dwarfs and micros that only grow to about 28" max and as short as 12". And obviously those can be spaced closer apart.
But production really depends on the variety, too. To THAT I can attest. Some of the particularly late maturing indeterminate heirlooms with really big fruits have only produced maybe only 4-6 but DELICIOUS fruits. I grew some multiflora variety cherry tomatoes that produce trusses of 20-40 fruits each at every 6 inches intervals or so along the vine (Zluta Kytice, Ildi, Idyll, Stormin Norman....)
Earlier maturing ping pong to racketball sized reds like Extreme Bush, Bloody Butcher, Beaverlodge Slicer, Manö, Canabec Super, Kootenai, etc. To name a few are all very productive.
Monomakh's Hat was a super productive determinate with huge mild flavored fruits, and Kamatis Tagalog with convoluted tangy fruits that were great for making juice and cooking into sauce.
Are these the sort of information you are looking for?