It seems that it depends on the country where you take the test and first flight. On the Canarian/Spanish Ministry of Health website, they acknowledge that PCR means RT-PCR, and all authorized lab follow these guidelines. That's why I went to 3 different authorized labs and they all said it is just "PCR" written on the results. I'll print the guidelines and list of authorized labs just to be sure.
So if a laboratory is offering PCR results in 24h, it means it's real time? I just checked and this lab is on the list of authorized labs of the Canarian/Spanish government.
I asked the Thai Embassy in Madrid about mine earlier today (uploaded the flight and ASQ 6 days ago), and they replied by email: "Normally, if your status shown as under consideration, you can not do anything more just wait. COE will be autorized before flight departure 2 days or some case a day before. Please be patient."