Well the most basic redis replacement would be just a global hashmap to replace GET and SET, possibly with a background thread to periodically delete expired keys. But obviously that stops working as soon as you get a second node.
The entire value of redis IMO is that is ISN'T inside your normal application, but rather some shared storage that all nodes can use to coordinate and that survives deploys, but that provides more ergonomic data structures than SQL databases. Caches are only one type of such shared data, but things like feature flags, circuit breakers and rate limiters are also super common (and super useful).
Neat. Write that up, match parity, and give all the function calls with the same name as redis, and you're both happy! You get to hand roll something, he gets to use a library that others have perfected over the years!