It also seems the guitar matters a lot. A guitar with a "live" unamplified sound (e.g., PRS) rejects MIDI guitar like a foreign body. A deader guitar, like a Strat, seems to work best.
I am not quibbling but perhaps we use the words "live" and "deader" differently.
I am also very much at risk of being obvious to at least some of you, I can live with that. :-) 40+ years of guitar tech and luthier, sharing what I've learned (and what most of you may already know).
Bear with me, I will be describing a potential problem (or more) in just a bit.
For MIDI, ideally, you want an even response. Resonance ("live"?) is by it's very nature, uneven. What you are hearing is energy being transferred from the string to other parts of the guitar, usually the wood of the body or "fugitive" threads in an archaic bridge design. Energy transfer drains the string's energy. That changes the response of the string since random resonance is by it's nature - uneven in frequency response.
As an extreme to make the point, consider the difference between a banjo and a Les Paul. The banjo transfers the energy of the strings directly to the head, it sucks the sustain right out of the string and the head does not have the clear, even frequency response of a string so you hear the tone of the head as driven by the string. Banjos would make terrible MIDI instruments!!!!
As to a Strat being "dead", I am first going to make the assumption that the vibrato is locked down for all MIDI guitars as the vast majority of vibrato mechanisms raise the height of the string as the pitch is lowered, that compromises the ability of the MIDI pickup to accurately parse the note being played. Bigsby and the old Kahler vibratos are an exceptions but neither would work well for MIDI since they both are very resonant and rob considerable string energy.
As with all factory goods, some Strats are quite lively and others sound like a wet log. LOTS of variable can affect the tone of a Strat. The most common one that I've dealt with over and over is the pickup height. Those magnets are STRONG!!! But the output of a single coil is pretty low compared to a humbucker. If you raise the pickups up on a passive pickup strat to increase the output, you are creating a magnetic "drag" on that end of the string. I've adjusted many strats that the owner attempted to increase the output by raising the pickups and then the guitar could not be played in tune in the higher registers.
The reason is that one side of the string cannot vibrate freely, that would be the side that is over the MIDI pickup. At it's worst, it creates "wolf tones", really a weird and unpleasant tone. How is a MIDI pickup supposed to parse that? There are multiple, varying frequencies.
The Noiseless pickups in particular have very strong magnets. This magnetic field also affects the sustain.Note that many humbuckers also have very strong magnets, check your PRS for that and lower them. It might make a big difference.
One of the reasons I switched to EMG pickups (besides not getting shocked back in the old days!!!) is the low magnetic field allows a more natural string tone, better intonation and sustain. The Lace Sensors are also very good in this regard.
I've had my Triple Play on a Strat and now a Tele, both Frankencasters, both with EMG pickups, no vibrato, 10-46 guage strings, Triple Play installed to spec and they do trigger well. My technique is now the major reason I have any glitching. That and some plugins just don't respond well to the waveforms generated by a string over the duration of a note.
Picking technique is also a factor. A light, even touch is going to produce better results than striking the string with force.
When all is said and done, I consider my Strat and Tele to be very lively guitars when plugged in, even though they are not acoustically resonant. It is intentional, I don't want resonance. I want an even response, to be colored by my playing techniques. I call this "battle" String Tone vs Body Tone.
Lots of variables, some of them subtle. Adjustments can be made.
Hope any of this is useful to somebody!!!!