> pre-caches frequent button clicks, using a markov chain

I don't think the current crop of fullstack engineers would be hard pressed to know what a "markov chain" is, but in theory yes, you could emit a bunch of speculation rules[1] based on your predictions.

I should also say that markov chain based approaches have been used for fraud detection, e.g. identifying checkout anomalies by detecting the sequence of web pages that they clicked on, amongst other factors.

[1] https://developer.mozilla.org/en-US/docs/Web/API/Speculation...