i always felt digital modeling was a good solution for low volume loud-like tone. but for loud tone, nothing beats the physics of the valves driving the power transformer and the speaker.
It has 2 strengths IMO:
Easier to get a usable sound quickly, and indeed at any volume, so you can record late at night or whatever. Good for scratch tracks. Debatable for proper ones.
Consistency. Few amps and no mic placements have a 'save as' function! Good luck getting a sound back, exactly the same, a month after its been stripped down.
I quite like that though. It changes your workflow; you have to be prepared, whoevers playing be on the ball and get the performances down, and whatever sound you end up with will always be unique to the project (for better or worse). With recall of patches you can tinker with something for months, or years, and theres never a "RIGHT! this is IT, tracking time, this is the sound, lets go" moment or period, where the songs are DONE, and its time to get a project finished. I like that bit. Its part of the experience. Maybe I'm just odd though.
Of course reamping serves a similar purpose, insofar as you dont have to commit to one sound, you can always change it as long as you have the DIs, but whatever sound you get is still never going to be exactly replicable in later reamps if you change your mind.