In the ideal case of reasoning you would simply present the methods and they'd bridge the gap independently when it is brought to the forefront of their context together, but it doesn't happen.
I think your conclusion that they aren't really thinking doesn't hold. They're already there, it just costs more and time to get good results.
https://chatgpt.com/share/69a12666-64b0-8009-8dfe-59546ac400...
EDIT - Updated the link to include the full conversation. Note that I didn't change it to pro mode until the end, and eventually got tired of waiting and just told it "answer now."