47 CFR §97.3(c)(4)
MCW. Tone-modulated international Morse code telegraphy emissions having designators with A, C, D, F, G, H or R as the first symbol; 2 as the second symbol; A or B as the third symbol.
So, I guess it is MCWID, or F2AID if one wants to be precise.
However, in "§97.119 Station identification",
paragraph (b) The call sign must be transmitted with an emission authorized for the transmitting channel in one of the following ways:
(1) By a CW emission. When keyed by an automatic device used only for identification, the speed must not exceed 20 words per minute;
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It does not specifically refer to A1 or F2 or CW or MCW anywhere else in the identification section. When they say "CW", they do not say "Morse Code" either. CW doesn't technically even mean "Morse Code" ... it means a "Dead Key". As soon as you interrupt it, it is not continuous, so apparently the FCC takes some liberties with meanings based on historical usage of ham "lingo".
So, even the FCC uses the abbreviation "CW" with the intent of it meaning "Morse Code", and they don't use it specifically for only A1 when they use the phrase.
DE WA1NIC AR