Yes, that's the theory - most of the blood pools in the abdomen ('splanchic pooling').
I think that may be the main issue here. If you have splanchic pooling, then theoretically strengthening core muscles would help. Unfortunately, for many of us that is not the problem. We have low blood volume or NMH, neither of which (from a logical pov) should be improved by strengthening core muscles. If you've already tried compression corset to little effect, it's likely blood pooling is not your problem and so the exercise won't help. If there's not enough blood volume, there's not enough blood volume. If the neurological signals are messed up, squishing the blood out of your gut isn't going to help there, either.
That said, if you can exercise below your AT and not cause PEM, it might not hurt to try.
Nancy Klimas (and others, I think) recommend that to do strengthening exercises, you do them well below your aerobic threshold and that you do maybe 30 secs (of very slow movement) and then stop for 90 secs. I think the idea is that it's going over your aerobic threshold that causes PEM. That's what all that CPET/VO2-max stuff is about (that's my understanding, at any rate).
That's my understanding as well. I was also told to take HR and BP before getting out of bed in the morning and if they are not normal to take the day off exercising. In other words, if you exercise one day and the next morning your BP is lower or HR is higher (or whatever) then you need to give your body a rest before you exercise more. Or something like that.
I have tried strengthening core muscles on the tiny-bit-at-a-time plan without much success. This is partly because I can't keep it up reliably and do what I need to do otherwise. I'm at my physical limit trying to work from home enough to support my daughter and myself and do my ADLs, so exercising every day is not an option, although I do try the old suck-in-the-gut-and-hold on and off during my daily activities. Not that it seems to have done any good.
Sadly, I'm still blobby about the middle. I keep trying, though. Hope springs eternal... but it's not doing anything for my OI.