I don't think the amp's ability to drive headphones is a weakness, it doesn't have any problem driving these K702's (same as Q701). Why I think they say it's the weakest link is that it's basically a CMOY amp and there are more elegant solutions out there such as the O2 (better design) and the Magni (discrete components) / Vali (tube amp). As to whether the competition actually sounds any better is a lot more subjective because there are many who still prefer the sound of a good CMOY over the competition.
I have been toying with the idea of eventually getting a Little Dot MkII and feeding it from the T1's RCA outputs but I'm not yet convinced I will see any appreciable improvement in the sound quality.