What I do not like about that "typical application circuit" is, that the LTC6655 can source and sink.
With the NPN Transitors Base-Emiter Junction in Series to the forced output, that doesn't make sense:
If the sense pin is ever so slightly above the set point, the LTC6655 will try to sink current over the forced out put. But with the Base-Emiter junction in series, the LTC6655 is just not able to do so.
The forced output will then go more and more toward the Ground, until the sense pins becomes to low due to the load (which will be at least 2mA from the sense voltage divider). Then the forced output has then to climp back up from whatever voltage it was to VRef + VBE (1.25V+0.6V = 1.85V). As the NPN Transistor has an finite speed, it will ever so slightly over shoot and guess what: The LTC6655 forced output tries again to sink current, sucks out all the charge out of the base-emiter junction and goes toward GND. After some time, the sense input becomes to low and the error amp starts to increase the forced output voltage and will again overshoot ever so slightly.
I do not get, why they recommend a circuit which has an issue with the sink capability of the voltage reference.
Beeing able to source and sink is the main difference between a voltage regulator and a voltage reference.