How the hell can you even THINK that Askar Body is better than Haubergeon for any part of the TP phase? And yes, your math is wrong. You gain 16.6 TP per swing with Askar/Rajas/Brutal, which gets you 83TP flat after 5 swings, and only 16.2 TP per hit without Askar Korazin, which will leave you at 99.2 TP. Relying on getting hit is not a great way to try to plan for it.
And for the accuracy issue, let's take Greater Colibri for example. Keep in mind, this is not my basis as to why askar is worse, because you can't spam Marinara Pizza +1 on them. It's just that the hit rate goes to ***when you lose so much accuracy. We'll use my setup, and maintain a pretend 6-hit with Askar to compare. TP Set here.
Level 82 birds have 339 evasion.
My set has 292 GK skill, with +43 accuracy that puts me at a total of 413 accuracy. Lv82 birds need 407 if I remember correctly to cap. This is also with hasso, so easily capped.
My same set, with Askar Korazin and Chivalrous Chain instead of Haubergeon +1 and PCC gives me 391.5 accuracy with Hasso up, which puts me at a 87.2% hit rate on those same birds. I fail to see how being 8% under accuracy cap is better, even if you hit 3% faster.
I'm using FFXICalc for all my calculations here, if that's somehow become obsolete and proven incorrect, then please let me know and I'll detract all my statements minus standing behind Askar Korazin being poo outside of a capped accuracy situation.
Also keep in mind that Greater Colibri are not the end-all be-all of this game. There's much more evasive mobs you'll swing at, making the difference much more drastic.