If the government of Qatar has a PNR collection program (different to APIS), then the relevant border agency will have information from both PNRs. I'm not sure if they do have one, if not they'd be working towards it. Whether it is actually noticed by anyone or system based interrogation is another matter given the amount of data they would be receiving. If it was brought to a human's attention, it is a scenario that has probably popped up previously, they'd likely realise no threat to the border -of course thats not a fait accompli. The question then is would this agency tell the airline (QR) of what is happening? Bit of a lottery, in theory no - it would breach the ICAO Standard and possibly Qatari law for the use of PNR data (use for 'serious' crime etc), but strange and not pleasant things have happened there before.
It is against the law here for misuse (ie assist airlines with revenue control) of PNR data by Home Affairs/ABF staff.
It is against the law here for misuse (ie assist airlines with revenue control) of PNR data by Home Affairs/ABF staff.