Crypto is very likely neither cheaper nor faster, since you can't spend the crypto directly, and need to FX it through an exchange on the sending side and the receiving side, each of which will take a cut (often percentages of the total). You also need to fund the account sending, and you need to transfer from the exchange receiving to a bank account. Both of those transfers could also cost money. You're also doing FX twice (USD -> crypto, crypto -> Yen), rather than once (USD -> Yen).
If you fuck up an international wire transfer, it may take a month or two for the funds to make it back, and you may need to have numerous conversations with both banks (I've been through this pain more than once and it sucks). If you fuck up a crypto transfer you lose your money with no recourse.
All-in-all the wire transfer is the better (and probably cheaper/faster) experience.