The subjective increase in impact, soundstage, and overall enjoyment. The same as finding better sounding (to you) 12AU7's, the 12AT7 opens up a wider range of options, and again I wouldn't suggest jumping in all at once, take your time with exploring the 12AU7 and 12AU7 variants first, to get a good ear to what to listen for as far as differences, before jumping off into 12AT7, E80CC, E180CC, 12BH7, etc.
That path provided me with months of listening enjoyment - getting to know the 12AU7 options, hunting them down, finding the best measuring and best priced 12AU7's, and then when I was ready - I felt I could do justice to a whole new target when I found one, I moved to 12AT7's, and on to E80CC, 6060, and recently E180CC's.
And, for me the 12AX7 is a bit too *HOT* sounding in the TA-20, perhaps get a nice RCA 12AX7 Black Plate to try and see what I am talking about, but I wouldn't start off ordering a bunch of 12AX7s to start, I'd sample a single 12AX7 pair first.
Yup, that is also what I have found. The dynamic impact of the 12AT7 is only exceeded by the E80CC (12AU7 variant) and now that I've experienced the E180CC (12AT7 variant) it has the characteristics of the 12AT7 in the TA-20, in an upgraded longer life tube design - 10,000 hours, and the E180CC delivers to my ears the best so far, again.
In comparison to the TA-26, even the most tubey sounding 12AT7/E180CC/6060/E80CC tubes in the TA-20 pale in comparison to the TA-26 stock tubes for tubiness.
But, the TA-20 with the 12AT7/E180CC/6060/E80CC tubes sound amazingly detailed - SS- like - in comparison to the broader deeper soundstage and tubiness of the TA-26.
I think both the TA-20 and TA-26 are making a wide dual path into the audio soundscape, both have different strengths and both best serve different headphone impedances best, I'm enjoying A/B'ing both side by side.