No problem, Max ... glad I could help.
It sounds like your 16 and my 18 may operate a little different.
On my 18, my auto-heated/cooled seats are operational during the remote start operation ... AND ... after I start the car. I have my Climate Control system set to automatically turn on the heated seat/steering wheel or the ventilated seats; depending upon the ambient temp in the car. Therefore, if it's a hot day and the auto-cooled seats are on during remote start, they will come back on automatically once I start the car. Over time, they will lower and turn off, as the ambient temp in the car cools. Same thing with the heated seats/steering wheel on cold days ...
My 08 DTS did not do that. It had 4-level (high/med/low/off) heated/cooled front seats. The heated seat would come on during remote start, but immediately turn off once I started the car with the key. If I wanted the heated seat after starting the car, I'd have to turn it back on. The cooled (ventilated) seat would not function as part of the remote start feature ... nor would the heated steering wheel. Also, when you turned on the heated/cooled seat, it would stay on at whichever level you put it at until you turned off the car or changed the setting ... it would not automatically adjust.
From what I'm hearing, it sounds like your 16 functions similar to my DTS in that it will activate the heated/cooled seats during remote start, but turn them off upon starting the vehicle.
I am not familiar with the 16 models, but perhaps there is a setting in the climate control settings that will automatically activate your heated/cooled seats as needed as part of the climate control system ... which should result in your heated/cooled seats staying activated after starting your car.
Might be something to look into ... if you haven't already.
Oh, and I checked yesterday and my indicator lights did not turn on during the remote start ... all lights are off. When I get in the car, the various steering wheel and center stack lights illuminate, but I did not notice the cooled seat lights on until I started the car. I would have sworn they were on beforehand, but apparently not ... sorry about that bit.