I have seen a lot of discussion saying that Tritons do not play well with Audyssey.

Is this the same for the supersat series?

Not specific to Tritons (or GoldenEar in general). Audyssey often best for subs and surrounds, if that, and only sometimes. Some of the higher-end systems allow you to use Audyssey but turn it off (bypass it) for the front three speakers.

We suggest manual setup to see what the system is supposed to sound like, then run Audyssey if you want to see if it offers improvement. If not, undo.

Thanks,
I am looking right now to see if I can do that with an Integra 40.5 right now I am not seeing a way of separating that but I will give both setups a try!