This proposal would involves breaking changes and it is also a bit of personal opinion, so feel free to close it.
The names Complex32 or Complex64 may be confusing for some users, because it might mean "a complex of 32/64 bits in total" or "a complex formed by two 32/64 bit floats".
For example, numpy has complex64 (2 x 32) and complex128 (2 x 64). Pre-1.0 Julia also had Complex64 and Complex128.
In Julia 1.0 they decided to take the approach of using ComplexF32 and ComplexF64, which, in my opinion, it specifies more clearly "a complex formed by two 32/64 bit floats". This naming also has the advantage of remarking that they use float as number format.