Beyerdynamics's answer as to why the A20 has a 100 ohm output, was simply that it created less of jump in volume when switching between headphones with different impedances, and that it prevents shorts.
http://support.beyerdynamic.com/hc/en-us/articles/201847362-Why-does-the-A-20-have-an-output-impedance-of-100-ohms-
I've heard some say that the headphones are Tuned for 100ohm, but I haven't read anything official from Beyerdynamic about that. Plus the the bigger A2 amp has the option to switch from 0 to 100 ohm, and Beyer suggests using 0 ohm output for their low impedance headphones.
Without good amping I found that both the 1st and 2nd gen T5ps where dull and lifeless sounding with no visceral impact and added no rhythm and pace to even the most driving music. When amped however the bass becomes tighter and more forward, the treble provided more air and details of the instruments. However I don't think they are all genre purposed headphones. I like electronic and synthwave which have interesting things going on in the sub bass region that only a "Fun" sounding headphone can capture. The T5p may be a little too "serious" for that genre, but for well mastered Pop and Rock and Jazz they are great.
Well compared to the 1gen they do have a bass hump. They just don't treat every genre equally.