Did somebody mention my name....?
OK, one thing to bear in mind is that a TBC does only one thing - well, at its simplest it does anyhow. It is designed to accept a composite or YC component input from an off-tape source, which is inherently "unstable" due to a reliance on belts, spindles, pinch rollers, servos, etc., and re-clock the sync pulses coming off the tape such that each frame is now accurately timed. As has been pointed out, there is (surprisingly) not a single Blackmagic hardware product that will facilitate this relatively simple process. I know - I've fought the problem of digitising incoming footage from a multitude of VTR playback sources for several years!
Over many weeks recently I've been converting a TV company's PAL SD 4:3 news videotape archive to 10-bit Uncompressed YUV Quicktime files for loading to the company's MAM (Media Asset Management) server where clips will be accessible to production and editorial staff. Some 3/4" U-Matic and BVU tapes are a bit jittery due to age, and my broadcast-spec TBCs will grab hold of the tape output off the VTR and force each frame sync back into shape to the point where the image sequence is rock-solid - and other stuff like colour-framing, black level, chroma, luminance, etc are all corrected thanks to the use of vector and waveform scopes.
Once the TBC has done its job of re-clocking the material, it will be acceptable to almost any Blackmagic conversion device and you're away. However, it has no role to play in anything else. If you wish to perform an up-scale from 4:3 SD to - say - 1920x1080 in a "pillarbox" mode, you'll need something like a Teranex to do the job (although the Ultrastudio devices - such as my Ultrastudio Express - can also do this, I learned recently). Once a Blackmagic device has done a conversion, you'll then be able to write the file in anything that the host computer can offer. As a Mac user with FCPX and Compressor installed on all 4 of my hard-working Macs I can capture as any flavour of ProRes422, 8-bit and 10-bit Uncompressed YUV or RGB Quicktime, DPX or whatever.
But you can't achieve any kind of conversion until you've given your Blackmagic hardware an incoming analogue video signal that has been restored to a stable sync, and that's what the TBC is used for.
And what's the best TBC to use for this? That's a whole different ball-game!
Blackmagic Teranex 2D, Ultrastudio Express, Intensity Shuttle (Thunderbolt), Two H.264 Pro Recorders (Mac OSX) & lots of old VTRs used for digital archiving of legacy video formats for major libraries, broadcasters, universities and public archives.