@Snafflebit - I just read through this thread, and wanted to offer up a guess at the original problem. It may be the oak cubes. 3oz per 5 gallons is a huge amount, even though MoreWine would have you believe it;s normal. Instead, during your next vintage, make some of your wine with no oak and taste that. Make some with say 1 oz per gallon and a little bit with your usual 3 oz. Then compare. Oak is kind of a mixed blessing in my view, You need a little, but not enough to consciously taste oak. There is always the danger you will make Chateau Pliewood.
The other thing, and it's just a thought, you went to a bladder press do I remember? That may help along with a crusher that has rubber rollers. My fermentations routinely get to 80F or more, so I don't think the heat has a lot to do with it. The one time I had wine that I got around to liking was a large vintage of Primitivo in 2018, And that one I oaked at 2.5oz per 5 gallons. I still have that wine hoping it will calm down, but at 4+ years I can still taste a bitter almost campfire quality that I do not like. It's gotten better, but at this rate I'll have to drink it in 2030.
And the last thing I would do is add even more tannin to the picture. Maybe an eggwhite fine, but adding more tannin just risks more bad tastes.
Good luck. Maybe update with how things turned out in the end?