The Complex Drive has the lowest gain, so by that measure it is the most different from the Thermionic. As you may have gathered from the above discussions, it's the same basic circuit with a few different component values and one or two knobs missing. What it comes down to is there is a ton of overlap between the various versions. Unless you are using extreme settings, you can pretty well get the same tones from the Thermionic, Brown Betty and Complex. The simplest solution is to build the TD per the Build Docs and use different control settings.
I've been pondering some minor mods to the basic circuit to introduce asymmetric clipping or different tuning of the Tone controls. No sims or breadboard yet.