Maybe
@weighted chinup could chime in on this subject since he is very knowledgeable regarding general training.
I draw a distinction between horizontal rows and vertical rows only for structuring a training day for recovery/performance purposes and less so for actual physique development purposes.
On my first pull day I will generally do my most intense/fatiguing row movement (currently underhanded smith rows with a pause) and probably use a less intense vertical pull like a pulldown variation. On my second pull day, I will use my more fatiguing vertical pull (weighted chinup this mesocycle) and a less systemically fatiguing row (such as a cable seated row).
The only benefit for this is it helps with recovery and performance in the gym (performance in the context of a single session - more intensity and less fatigue going into the main movement(s) which minimizes junk volume)
I don't believe in separating horizontal rows or vertical pulls entirely though, I think both should be performed on any given back training day (exception of maybe rack pulls).
Anecdotally, I'm not convinced vertical pulls are any more effective at putting size on my lats than underhanded rowing at this point, at least not in a significant way. I think people use incorrect cues to try and remove their lat recruitment from their rows for the sake of middle back or traps but this just ends up building less muscle overall. A properly performed row will have a shit-tonne of lat recruitment.
Even a pronated single arm row, on the surface it seems like it's great for middle back, and it is, but it's absolutely fantastic for lat development due to the pre-stretch you can get. If someone were to change their cue's to minimize lats in favor of feeling it more in their middle back it's just making the movement less effective overall at building muscle. With back development, I'll take as much size as I can get any day, whether it be width or small details.
Upper middle back work a lot of the time can be addressed without changing your normal workload / weekly volume targets - assuming it's the little details you're missing - movements like band pull aparts, scapular push-ups, prone-y raises can be implemented at the end of a back session and can target these small areas and really give your middle back a "pop" to it - and help with a tonne of imbalances as well. They are super mild for recovery purposes so weekly volume does not have to be adjusted, you can just throw them on.