Mark from Khruangbin's influences are a collection of multiple "world music" sources ranging from South East Asia, Thailand, Indonesian, African, Balearic, Ethiopian, Afghanistan, Jamaican, with a Hip Hop, R&B, and Soul foundation. With specifically a bit of debt to Khun Narin.
https://www.youtube.com/watch?v=ZpJpypO7Phs
Though that's not to say that he is not also influenced by Turkish music. I just don't personally hear a lot of Turkish influences in their songwriting.
I will agree that with you that Altin Gun are getting to the core of Turkish Psychedelic rock. They are a brilliant little band that is bringing back the epitome of what is great about Turkish music. Super proud of this band.
https://www.youtube.com/watch?v=BK43KcYUv1g&list=PLAMh_0Y3otNl57oy30BljhCJ2SOxnagD9
AnatolianRockRevival
The Anatolian Rock Revival Project is a brilliant site to get more familiar with some amazing Turkish music, and also get into the powerful messages hidden within the songs lyrics. Here's some of my favorite samples of Turkish music:
https://www.youtube.com/watch?v=WQi-MGuflwM
https://www.youtube.com/watch?v=-h5TSkYq3_I
https://www.youtube.com/watch?v=Xt2IcK78NOw
https://youtu.be/ODgwrVP8Qss
https://www.youtube.com/watch?v=XHTNUjEfwEY
https://www.youtube.com/watch?v=0h6iKGkpkzE
https://youtu.be/2hlzHLzGvD8
https://youtu.be/OF2620oAXYs
- Damo