Very interesting comments about the T -- I do not have one, and have heard that it's not as well made as the other Rolleiflexes or Rolleicords. But the idea of 16 on a 120 roll is really appealing -- I did not know the T had this feature (and I gather it's the only Rollei that does). So I need to keep an eye out....
But with regard to the original point of this thread, namely, taking portraits, #31 above shows why maybe the T isn't so great for this purpose.
The Rolleicords V range (Va and Vb) also have the 16 kit. As well a 24 exposure kit is available with two format sizes, regular 35mm and 828. The latter is slightly winder and offers a better 'panoramic' view, so useful to those who like shooting landscapes with a TLR.
As well as two Ts I have a Vb which took me a while to get used to. The shutter release is a lever below the taking lens and has to be recocked for every shoot. There is also a small lever covering an odd red dot on the left side, when in lock position it lets you take only one exposure on each image you shoot, unlocked (showing the red dot) you can do multiple exposures - super good for 'creative' types but I've never made use of it, being a one-shot sort of guy.
The 'cord has a wheel to wind on the film, not a flip-out (crank) winder like the Ts. Again, this may be important to you. As a slow shooter it doesn't matter much to me, but YMMV.
For the occasional portrait I take, I use the 6x6 (12 exposure) format. Sixteen on 120 is great for environmental people shot including the background. The 35mm kit is superb for these, keeping in mind the film format is smaller - but then the Tessar is a super sharp lens.
For me one of the best features of the Rolleis is the ergonomics - I love the way they handle and can be held. The 'cord benefits from a grip (F&H made a Rolleigrip, an odd thing which lets you hold the camera from the bottom, again this took me a while to get used to but it works well in its own German way and I now make regular use of it for all my Rolleis).
The Ts and Rolleicords can also be easily repaired. Mine haven't broken down yet, they are hardy things and usually go on shooting for many decades. A CLA now and then (I have a 3.5E2 made in 1962 which I bought in 1966, in 58 years it has been CLA'd two times) keeps them going very nicely.
I enjoy mine as minimalist cameras, but then I also own many Rollei-made small bits and pieces for them - many accessories, mostly useful, are available for Rolleis, the Ts and the Rolleicords take the bayonet I size which are usually plentiful and not too expensive.
All plus-plusses.