I don't really know enough about Turkic languages to say whether Latin is a better fit for them than Arabic, or not. I would expect modern Turkish alphabet to be better at it, if only because it was specifically designed for that purpose, and not just organically adopted the way Arabic was.

But my point wasn't about which one is a better fit, but rather which one was historically used for that particular language first, and for the longest period of time, and used to produce the most past cultural artifacts. And in this case, it would be Arabic.