What you get asked for at airport may vary, but I was asked for Vax certificate and PCR test at first airport. When boarding connecting flight ( I flew Malta to Bangkok via Istanbul) they asked for Thailand Pass. Not sure what would have happened if I had no pass in transit airport; I guess either sent back or stuck in Istanbul!
At Bangkok there are 2 checks, the first one is for Thailand Pass, PCR test and Vaxx certificate. Next check is for Immigration, so they want to see passport and visa if applicable, they also want to see your hotel booking.
Finally, in Arrivals hall, there are plenty of staff directing you to your hotel pickup. So, the airport arrival went quite smoothly for me and others I've spoken to, it's just getting the Thai pass that is the headache...