Hmmm a hard question. Does anyone know? I doubt we can give you an answer because it's about Dysautonomia:
I don't see why a BP would normalize on a drug, it's not that you get 'used' to Midodrine and it has a very short half life so you won't build up a tolerance. As you know, it has a rapid effect after taking it, you get a little burst of activity, it burns out, and then you have the horrible side effects, well some do.
Another way of thinking of this, is can your question actually ever be tested for? Our BP is so out of whack: (abnormal, normal, dangerously high, normal, low, high) then we get normal pulse pressure (differences between systolic and dystolic), then too wide, then narrow and then normal again.
Add on top of this another variable when you took your own BP:
Seated, calm, exertion, post exertion, post prandial (food), morning (most dehydrated), weather (heat or lack of) and other variable dilatory factors (after a shower/bath), or constriction (stress). Then add other meds on too. It's just massively complex in my view to be able to give you an answer as patients on Midodrine.
Unless....we can ask an expert (do they exist?) in autonomic blood pressure findings, do we get now just wide, narrow pulse pressure but your specific finding as part of the pathogenesis, and then find out if this is Midodrine related.
Unless these answers are on the package insert of the drug,
Otherwise I doubt you'll find an answer unless you've cleverly found a phenomena in most people on Midodrine, rather than a unique phenomena.
Why not start simple and if you can, ask your cardiologist or the person who prescribed you the medication why you get no rise in systolic, post administration of the BP raising medication.
Failing that one idea might be to research a condition (might not be midodrine related) that causes the finding to occur and see if there is name for it. Maybe you have 'that', and thus you can then see if it correlates with taking the medication.