Zelda says he has given up reincarnation in exchange for greater power as Dark Beast Ganon. It was a trade Ganon made. Ganondorf may be around but without Ganon he is literally just a dude with no greater significance. The most generous interpretation you can have of the ending is that Zelda did not actually destroy ganon but sealed him away in some place like the sacred realm like LttP intro. That means ganon is still around because he's not actually dead but he's not reincarnating either. And he is still fundamentally divorced from Ganondorf
No, the original Japanese version's line is "This form was born from his obsessive refusal to give up on revival".
I was only pointing out that your OP was wrong. Nothing says he can't reincarnate anymore, thus this particular piece of proof isn't conclusive. ---
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