So in the air Qatar Airways is much better than Turkish Airlines. Both in Business Class and Economy Class.

However, on the ground, they are both at similar quality. For me, as I speak Turkish and as I have a TK ticketing office nearby that I could visit in person, the service is a bit better; however, for phone customer service the QRPC Gold/Platinum team is a bit better than the TK Elite/Elite Plus team.

As a top-tier of both airlines, when it comes to frequent flyer programs; Qatar Airways's program is not an easy program to qualify/requalify as TK Miles&Smiles and does not have sweet partner redemptions as TK do.

To answer the question regarding which FFP would be better for your case; could you provide whether you have any oneworld status at this time?