It’s really a matter of semantics. Was Judas initially an apostle because he loved Jesus? Probably. Did he have other motives as time progressed? Probably. If Judas eventually used Christ for political motives then, yes, he did betray him. Did Judas believe or intend that Christ be killed? Well, that’s a big question. Obviously, since he killed himself, he apparently felt some guilt.
Then one of his disciples, Judas Iscariot, he that was about to betray him, said: ‘Why was not this ointment sold for three hundred pence, and given to the poor?’ Now he said this, not because he cared for the poor; but because he was a thief, and having the purse, carried the things that were put therein (John 12:4-6).