Its like telling a violinist to hear what a violin sounds like on a record while he’s playing. An electric guitar is the guitar plus amp. Further aplification(Microphones, preamps, recording media) is an artifact and a situational need, not the original design. Not a natural part of the instrument. For when you must mic a speaker you must, but why impose additives when they are not needed? Generations of engineers would kill to get a sound where the mic is out of the ecuation and you volunteer it even when not needed?1st: No, it can't.
2nd: why should it. It's not a sound that you should send to a console, because techs are used to mic'd sounds. Also the audience don't knows how AITR sounds. When they hear an AITR sound, they'd say it's off from what they expect.
You could still be after the AITR for your own pleasure at home, but it's not something to play out. Advance and leave AITR behind?
Solution Is either power amp into guitar cab for the player and its close proximity and a further simulation of what a guitar cab throws out naturally but on an frfr speaker for listeners farthervaway on a PA or Recording.