I'm sure I can't tell the difference between modeled and not on other people's recordings, most of the time anyway. But for me if I'm using a modeler it's the paralysis of choice, whereas with a tube amp it's just plug in and go. I like the limited options with tube amps and the super wide sweet spot.
This is why I think the new breed of modeler pedals will sell well. They sound good, are easy to control and will fit on any pedalboard.
In fact I am very happy with my Walrus Audio ACS-1 with the WA DI. Just recorded an EP with it and have used it live and at rehearsal, too.
I do love tube amps and still have a Fender Blues Junior IV with a Neo speaker as my main amp for smaller amps and sometimes I play larger Fenders and Voxes live. But my ACS-1 has done really well for me.
Am currently thinking about buying a UAFX The Dream modeler pedal as well as getting another tube amp. Both are great tools to me.