Thanks for the report but this is an allowed behavior and not a bug.

Per the docs¹:  If typed is set to true, function arguments of different types will be cached separately. For example, f(3) and f(3.0) will always be treated as distinct calls with distinct results. If typed is false, the implementation will usually but not always regard them as equivalent calls and only cache a single result. 

¹ https://docs.python.org/3.10/library/functools.html#module-functools

In this particular case, exact type matches for str and int have an alternate path that tends to save space.

The cost is that str or int equivalents are cached separately.  That doesn't tend to be a problem in practice because functions are mostly called with the same types over and over again.

Note, we also treat equivalent calling patterns as distinct, f(a=1, b=2), is cached separately from f(b=2, a=1).