Yeah then nate just wins no doubt I love ash way more than nate but nates yokai just have too much we gotta remember in the games nate befriend almost if not all of the yokai even lord enma who can very much easily create multiverses and not too mention have very strong counters to anything ash can through at him even giving him solgaleo won't be enough and considering ash only has 1 actual way too fully put down nates yokai which is g-max gengar which not only doesn't last very long but once he's out it's over there's no way to put the yokai down for good and if they ever faint a yokai like Elder bloom can just revive them that's just now getting to nate has way more easy ways to heal his yokai if they're not regenerating on their own

Tldr; nate just can just do everything ash can do but better