I believe the Little Rock is more flexible as it has bass/treble controls (not just tone) and three clean/three dirty gain voices (thick-medium-thin).
Must get some clips of my Little Rock done...
Not sure as I haven't heard it. The 7/15W settings are essential on the Tiny as 15W makes it giggable (also in my recordings I did post EQing and maybe I overdid it on the 15W one a bit).
I actually don't miss any further tone controls, works very well in fact. Turn tone up and you have crunch depending on the gain from SRV/ACDC/Metallica, turn it back and you have Robben Ford or Santana, it's really that simple. The Gain pot on the TT has two different phases (adding another gain stage from around noon onwards) which does add a lot of flexibility. For example with gain at 4 and master and tone at 10 it's a completely different animal than with the gain up - think Jeff Buckley with the gain down.
I don't think there's a real question as to which one is better, let's not get into that subjective argument. Probably if you don't need more than 6W, the Matamp is the better choice, personally I also like 6V6s character.
And yes, get those clips done! :P