The Monk Temple

[Allyrion]

so then the combined total of using equip to put you above acc cap + determination food (buttons/black truffle) outweighs using gear + accuracy food?

That's not the issue. The issue is that no stat weight gains from secondary stats can outweigh the loss of 4 strength unless your accuracy is over 500 or something.
For example, using either of your stat weights will put using the Allagan pants or even just the Allagan Choker of Striking will allow you to pick up the Cyclas chest and gain dps from it.
That's not even all the options.

The difference between stat weights are not so different that you can make up for 4 strength.
To put that into perspective, you would need to replace ~286 skill speed with crit to get 4 strength.

So yea, you have other options to reduce your accuracy while keeping all ilvl90 and there's way to make up for dropping 4 strength by shuffling around secondary stats