I agree that loading a profile is not the same as micing an amp from an experience perspective. How could they be? They are both different things.

All kidding aside, there are a lot of flawed or mistakes happening when it comes to profiles, IR's and so forth to make things unique. Not everything is perfect in the modeling world. I do understand what you mean though. I think some of the culprits are auto tune, making sure everything is in perfect time, rarely is anything recorded at volume, in a room, live with the whole band so they can get the vibe and the power of the performance. Nothing beats a good performance in my book.
Back to the profiles....it is easier said than done when it comes to getting lightning in a bottle so to speak. If anything, the modeling world has really shown the world how important other things are aside from the amp and how it is dialed. It takes skill and experience to really know what puzzle pieces will deliver the good for what you are looking for. That is no different from the amp to modeler world. Skill and experience isn't necessarily bought. It is acquired through time and experience and learning to ask the right questions and by trying new things. I think a lot of new sounds are out there and obviously available. That doesn't mean we may like them...lol. We gravitate to what we like and feel comfortable with. I also feel one of the biggest culprits in sound familiarity is a speaker issue. EVERYTHING is vintage 30 or greenback it seems with few exceptions of course. Since the speaker and cabinet IS SO IMPORTANT overall in the guitar sound, I feel it would be wise and very beneficial to venture away from the familiarity of those two speakers and take things into a new direction.
The real amp mic'd on record is also a snap shot or a portrait of that moment in time just as much as a modeler is. I am not anti amp by any means. I am a die hard amp guy for sure but I have learned that the Kemper (for me) does some things differently that the others don't and that has bridged a lot of what I once thought were gaps between those two worlds.