This was mentioned is a sibling comment, but I’ll 2nd that it matters more on a bluesy/rock style tone. It’s right when the power amp is starting to get saturated.

On a modeling amp, I have not heard one that doesn’t introduce extra digital artifacts into the tone. It’s like the difference between GCI and IRL.

Another is on the other end of the amplitude spectrum, very quiet playing, where I hear extra digital artifacts introduced.

As the other poster mentioned though, these differences may not come across at all in a metal/pop setting.

Everyone thinks they can tell the difference until they do a blind test.

That is true- this is a good callout. You’re brain does a lot to convince you of the difference when you know the source of what you’re hearing.

But there are always exceptions. As someone that worked as a recording engineer for 7 years, and spent time intentionally training my ears with blind tests, I can tell you that there is a definite aural difference between a real tube guitar amp and a modeling amp. Other recording engineers I assisted could hear it too.