Conversely, playing through my Shiva with no boost feels like running through mud in comparison when it comes to playing fast and there’s no AD/DA going on there!
The on paper differences are not huge, but the practical realities mean that Axe FX III just does feel quicker to play through.
This is a) why I said there's plenty of other factors and b) exactly my experience as well.
I mean, "smeared" transients are a thing with some stuff, regardless whether it's analog or digital. And once they kick in, it's pretty obvious that you will feel less of an impact following your picking. It's possibly the same reason for some amps to act more forgiving while others don't.
If you really want to know your latency tolerance, there's no way to find out than to set up a proper test, read: Apart from additional latency, all other things must be equal. Switching from one amp in (digital) 4CM method to the same amp without the digital device isn't sufficient, unless you've actually measured that the digital device is causing *zero* other side effects.
It's also astonishing how wildly different oeople perceive and deal with latency (pretty tough to tell, though).
And having said that: In case you can't detect latency, it's defenitely not necessarily a sign of inaccurate timing feel or anything.
Sure, there's been folks telling me there'd be no latency when they were playing early amp sims through early versions of iRigs and early iPads - and you couldn't get the latency below 15-17ms back then (I checked). This is how I learned to take any "no latency" statements with huge grains of salt.
However, in general, latency and how it may (or may not) impact you is pretty much a "reference" thing, especially when dealing with guitars. It's likely not as easy, but simply put: If you always rely on the feel of your pick/fingers hitting the strings, latency may not impact you too much (unless you're recording things, but that's yet another story...). If you however rely on the acoustic information provided by whatever monitoring sources, you may get annoyed by latency a lot earlier.
But as said, that's just a *very* simple explanation (if at all) because in reality, things may shift between these two quite a bit, depending on the situation, actual amount of latency, guitar used, sound used and what not. And it even seems to greatly vary based on your personal shape, feel, "did-I-fart-well-enough" and what not. At least that's what I observed with myself.