I'd say the US already has enough leverage on Turkey's economy (e.g., trade, investment, etc) to do that if it wanted. US defence exports are multi-layered packages. On the surface, you get the main weapon system, training, logistics package, etc. However, it also keeps the door open for the US to directly engage with your country's military leaders, carry out exercises or training programs, and other deeper links. I suspect the Pentagon told the White House that it can't afford to lose those links with Turkey.
The worst thing for the Pentagon is not being able to deal with people because they don't know who they are, how they think, what they want, etc. The French, for example, wanted to maintain a bit of a gap between themselves and the US. They collaborate for sure, but the US doesn't know France as well as it knows the UK or Italy.
This is the one reason why I think the US could once again sell major equipment to Pakistan. We saw the quiet transfer of TPS-77 MRRs, for example. I remember how in the early 2000s the US re-started its arms sales to Pakistan via the AN/TPS-77. It was a "oh whatever" thing back then, but 3-4 years later...Bell 214EPs, AH-1Fs, C-130s, P-3Cs, and then F-16s. Today, the US knows our generals pretty well, but in 10-15 years (at the current rate), they won't know who they're actually dealing with.