I agree with this assessment, but I will add how this applies to the Marshall JCM2000 TSL100, of which I own two of them. In regards to JJecc-83s, the have a much quicker pick attack than the Tung Sols, tighter low end, fuller more even midrange, and are not harsh on the top end, no spickyness or twang that the Tun Sols suffer from. They are perfect with the JJ-ECC803 I have in the PI position. I currently have ecc-83s in V1-2-3, replacing my Tung Sols.
The Tung Sold have a tendancy to die in the V3 cathode follower of these amps, I have lost 2. As you mentioned " They are brighter than the JJ's and have a slighly scooped midrange to my ears along with a stronger low bass response; low notes were a bit too bassy", in my Marshalls the TOO BASSY part means flubby mud to these Marshalls.
My current Power Tubes are the JJ E34L in one amp (going to change soon to the JJ-EL34II), and my main amp JJ-EL34II, which I absolutely love. Tried Tung Sol EL34B's, Winged C's, Mullard RI, Svetlana S, and the JJ-EL34II just tops them all.