At least when Goku is taking off with Oob, he shouts "we'll get even stronger!!'. Maybe stronger in the sense Oob will learn how to use his power effectively, but yeah, it likely he'll push him way beyond that.
If Oob already conformed to Goku's expectations in the tournament, where he said someone besides us and Boo "might" win, and he can already fend off that level in base... Then merely pushing Oob to use that power effectively wouldn't be a challenge to Goku's highest states. There's that theory of mine Goku stacked the SSJs power in base, but that's just headcanon.
Goku sees how Oob can't even fly and says he has never had a master... Similar to Gohan stating to Goten "what about doing things in order"... And Oob also reminds Kid Gohan vs Raditz a little bit. Piccolo stated Gohan had amazing power but couldn't bring that power at will, so he'd train him to effectively use his power. He had displayed a 1307 BP Vs Raditz, and that number sounds like a good estimation more or less to his BP Vs Vegeta and Nappa, so all in all Piccolo made him capable of bringing that power more naturally... But kid Gohan could get way stronger as time went on, so yeah, naturally should Oob too.
The problem though is that Gohan's potential is way bigger than Goku's... If Oob has already a huge starting point like that, being Boo's reincarnation, it wouldn't be a stretch to think he'd have way more potential than Gohan. How can Goku expect to have an all out battle against someone whose potential would exceed his hugely? Not taking Super into account, were Goku to bring out Oob's potential assuming he has way more than even Gohan, Goku wouldn't hope to compete to that... So maybe Oob's max is limited to what Kid Boo displayed? Or dunno, maybe his maximum would be Super Boo/Buff Boo at most, but that's a little more random to think because he's the reincarnation of Boo alone, Pure Boo, not Boo who has merged with Godly beings. Super implies Oob has godly powers tho, but that's straight up BS imo. He's supposed to be Pure Boo reincarnated and Pure Boo/Kid Boo is exempt from any God interference, he's just Boo himself and pure evil.