Im not sure which mobs you calculated 423 for, as you dont need that much for the mage mobs there and puks, and certainly need more for NIN/THF/Wyvern.
Pizza is great, but its limiting factor is that with a solid gear acc build, you can eat meat for a slightly less hit rate than pizza, and slightly more attack (which at first glance doesnt seem like a good tradeoff). Where meat shines is ability to swap out those acc spots (culc/AT/acc earring/rings) for more attack based alternatives on mobs that have lower evasion (puks/mage mobs, etc), netting you a similar hit rate to sushi/pizza alternatives, at a much better DoT overall.
As for the similarity:
Pizza+1 nets you ~ 35 acc and 55 attack.
Lets assume you use Faith for neck, Foragers for back, rajas/str ring, ethereal/brutal earrings, full usu obviously, and hades+1, with black tathum.
That gives you (@299 skill with full merits) 200+(.9*99) = 289 acc + dex(63 base *.5 = 31.5) + gear (full usu = 42.5 acc, .9*7 = 6.3 from faith, 9 from hades+1, 4 from tathum, 2.5 from rings if using rajas+str >.>, all totals 63.8 acc from gear)
= 289 + 31.5+ 63.8 = 384.3 acc.
With an added ~35 acc from pizza. = 419 acc.
With 15 attack from back, 5 attack from rings slots, 5 attack from earring, 7 attack from faith = 32 attack total from spots you could have used acc.
With an added 55 from pizza.
= 55+ 32 = 87 attack from swapping the back/neck/earrings/rings for attack/str counterparts and eating pizza.
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With one 3 acc earring, 2 7acc rings(12 more acc than rajas/str ring), culcs (7 more than foragers), and AT(3.7 more acc than faith), you get 25.7 more acc than your attack build, before any food, at the loss of 32 attack.
384.3+25.7 = 410acc., 9 under your acc rate with pizza, with the ability to swap in foragers/rajas/faith/att earring for when focus is up and when fighting the mage mamools, puks, and lower evasive mobs.
As for you and str rings: For the more evasive mobs, even with focus you wont cap out, and should be using acc rings/AT/Cucls. Not to mention that with your choice of pizza over meat, your max attack (even with attack gear and str rings) is lower than a mnk that chose to eat meat and swap into his attack build when needed.
Either way: No you shouldnt be using str rings.
XI Wiki


, focus is your friend.
