I'm totally against giving Kenny Omega a mouthpiece.
The guy's a likable happy-go-lucky, athletic worker that actually has a catchphrase and fans have heard him speak fairly extensively on the regular, may it be in-ring, in televised interviews, or in other platforms.
He's also main-evented in this company and Japan, so either slowly figure out how to promo by working on it and running it by your boys that are good at it or keep it more concise on the mic. No mouthpiece though.
What he DOES need to do is figure out what he wants to be in this company because his character hops back and forth between far spectrums of comedy and serious fairly often.
Balance is fine, and it seems like he's finding a little bit more of it lately, but on one hand, he's the Best Bout Machine that's booked as a potential contender for the top title early on and was put into a hardcore main event feud with Mox and blowing off a best-of-3 with The b*stard in an Ironman match, etc....
...on the other hand, he's taking L's to the Best Friends as one-half of the tag team champions while tagging with Turkish oil wrestler Michael Nakazawa for the rights to the "Best Friends" name or
He doesn't necessarily need to be the Cleaner just yet to be taken seriously. For year two, you just raise stakes for his character by having him turn on Page without actually turning heel. They've already sown the seeds, but maybe you have him give Page a V-Trigger once Page defeats Matt Jackson to blow-off that feud. Have Page snap after winning and try to end Matt Jackson and have Kenny reluctantly V-Triggering Page be the only way he can get him to stop.
Perfect chance to build Hangman & Omega on the mic. No titles needed, maybe even drop the tag belts to The Bucks or FTR as they branch off into that feud.
Wouldn't even have him sniff a title. Give him a feud later with Cage. Best Bout Machine vs The Machine w/ The Human Suplex Machine. Let him get better on the mic against Taz while carrying a serious feud. Both guys benefit.
If you MUST bring the Cleaner out, have him bring it out as a surprise at a big event after getting mauled by a guy like Lance Archer. Everybody dies, so fukk it.
Let him develop his chops on the mic with Jake and once the PPV comes around, have him channel The Cleaner because he needs an edge to beat a Monster.
Just needs character development on this show and stories in his arc that say more than just "Kenny Omega is good in the ring."