I just found this review of Circle Sound, a covers-focused side project led by the guitar players from the Black Crowes and North Mississippi Allstars:
I have heard NMA do a very credible Stray Cat Blues but was surprised to read this was performed at the Circle Sound gig:
...sticking double-Southern-guitar dynamite under the already dirty gospel of the Stones’ “I Just Want to See His Face” from Exile on Main Street.
I wonder what it sounded like? I cannot imagine anybody covering this, I bet it was hot stuff indeed.