Definition of SUPPORT
2a (1): to promote the interests or cause of (2): to uphold or defend as valid or right : advocate (3): to argue or vote for
b (1): assist, help (2): to act with (a star actor) (3): to bid in bridge so as to show support for
Synonyms: advocate, back, champion, endorse (also indorse), patronize, plump (for), plunk (for) or plonk (for), go in for, go to bat for, hold a brief for, stand up for, stick up for, foot the bill (for), take care of
(bold emphasis mine)
The words "support" and "endorse" are SYNONYMS. It really makes no difference which of the two words Rand used. They mean essentially the same thing.
You are trying to make a distinction here that is simply not valid.
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