Sorry for late reply. Depends on what is in the package. Docker is just a thin separation of processes, so the situation is very similar to size of packages on host Linux OS. What matters is the size of binaries and loaded data, which I guess is not that different between distributions.
Also besides disk space, I really have no idea how docker manages memory, but my assumption (naive?) is that smaller images will consume less RAM memory. I didn’t benchmark this though.