I agree that there's a qualitative difference between a cuckoo clock and a programmable computer, but the difference between a computer and a calculator or a fixed program computer is much less clear and much more open to arbitrary proclamations of what we can call a computer, and what not.

Don't forget that modern computers include all sorts of special-purpose components, like ALUs etc. In the limit, a universal machine is the union of infinite non-universal machines, after all.