I think there were a lot of players up and down the ranks waiting to see which way the wind blew before casting for any given side.
With so many concerns that the coup had backing from either Putin or other power blocs, a whole lot of side players would have wanted to back a winning pony and were waiting on early outcomes. Equally, with Putin not providing decisive action, I'm sure that invited meaningful concerns that this was some sort of double-dealing or the beginning of a Putin-backed purge.