Code doesn't even need to be "hot" to make it worth it. WebKit switches from interpreter to cheap baseline compilation, without an specular optimizations or type information, after only 6 calls of a function: https://webkit.org/blog/3362/introducing-the-webkit-ftl-jit/
This article literally describes how baseline JIT is worth it simply to remove the bytecode VM dispatch overhead.
Relevant post here:
https://rfk.id.au/blog/entry/pypy-js-faster-than-cpython/
A simple JIT can get you to the point where you reliably outperform a bytecode interpreter for certain types of code. What takes a lot more engineering effort is reliably performing at least as fast as a bytecode VM for all types of code.
PyPy is a much more ambitious design, completely replacing CPython, and using an unusual JIT scheme of tracing the interpreter itself and trying to produce an interpreter optimized for particular traces of your code.
It was much harder for that approach to reach the same level of general performance than it seems to have been for CRuby & MJIT.