TTS does in fact tune Lambda. I do NOT know what a Lambda 'probe' is except to think you are referring to the O2 sensors on the bike? Yes, the TTS will v-tune those areas.
I am used to AFR, but Lambda is the way of the future, I guess.
SERT and SEST are two completely different tuners made by two different companies. TTS is made by the folks that made SERT... The Turbo Shop. Cannot remember who makes todays SEST.
SEST has a habit of locking up the PC it is hooked to. This while doing Dyno runs. Error message is No Lan... and tuners call this Nolan.
Other than that, for Dyno work... SEST inputs data as good as TTS and SERT.
Self tuning is a bit different, though... WIth TTS... the 'work' is more tedious, with v-tuning, than with SEST. But, one PICKS all the values, as opposed to the SEST picks it for you. Aslo, with SEST... closed loop IS 14.6 NO MATTER WHAT ONE SETS THE CLB's to. This is seen time and again with AFR meters.