My argument proves that NO messiah (and there will only be one) will come a second time. The job of the messiah is to rule during the messianic age. A contender will either do that or he won't. Jesus did not.
It is said that how the Messiah arrives depends on the state of the People of Israel. If we are observant/obedient, he will arrive in glory on a horse. If we are unfaithful/disobedient, he will only come riding a donkey.
Jesus entered Jerusalem on a donkey. Jesus said in Matthew 23:37
“O Jerusalem, Jerusalem, the one who kills the prophets and stones those who are sent to her! How often I wanted to gather your children together, as a hen gathers her chicks under herwings, but you were not willing!