unicodedata.name() was discussed in #12353 (msg144739) where MvL argued that misspelled names are better than corrected because they are more likely to appear misspelled in other sources.  I am not sure I buy this argument.  Someone googling for 'BYZANTINE MUSICAL SYMBOL FHTORA SKLIRON CHROMA VASIS' will probably just enter BYZANTINE VASIS and find what he or she needs.  A more likely scenario is someone trying to get all FTHORA symbols using a naive code like this: [hex(i) for i in range(1114112) if 'FTHORA' in ud.name(chr(i), '')].

Even more likely scenario is someone seeing a fancy symbol on the web and wanting to use it in a python program.  Such programmer would copy the symbol to python prompt, call unicode.name() and copy the result in the program.  Do we want to encourage people to perpetuate the mistake that Unicode has corrected?

I don't think the issue of control codes names was discussed in #12353.  I see no downside with returning the first alias in case no name is present.