Hating BA isn't a good enough reason not to get a Torso, heck I got Void even though I'm not a fan of PC (it's only fun if you play with friends) because it's useful and definitely worth getting.
What, I'm not sure I understand what you're saying. It's a fact that Tassets + Torso > BCP + V skirt, opinion has nothing to do with it. It's not worth getting because you can't sell it? That doesn't even make sense. It's an useful and 'free' piece of equipment, just like Void robes and the D def and it's extremely easy to get. And no getting Bandos isn't a 'much wiser choice', he only has 30M to spend and the first thing he should get is a fury - worth 11Mish I believe? He can't buy both Tassets and BCP with only 19M, and since Tassets + Torso > BCP + V skirt he should buy Tassets first. It's simple.
You don't understand the technicalities it seems. Here is a post that will make everything clear. If you choose to still go with what you say is right, so be it. My job is to just inform.
Maxing strength bonus is a priority, but you have to remember that most equipment upgrades in that regard are very small, marginal changes. The reason they're worth it is the low opportunity cost--if you're not upgrading your gear, you're sitting around with a big pile of money in your bank that isn't doing anything, so you might as well spend it on something.
Untradable gear doesn't work that way, since you can't just trade your extra cash for it, you have to actually go out and DIY one. So you have to actually give some thought to whether it's worth the time it takes to obtain it. In the case of the Fighter Torso, the short answer is no, it isn't worth the time it takes to obtain it.
That's the other problem with it--unlike MA rings or defenders or Void or various quest gear, it's not actually the best gear for its slot. So when you eventually get the better gear, it ends up becoming obsolete, and then it just sits in your bank being useless.