I don't think it would've made a difference in the long run.
Whether it's Obi-Wan, Yoda, Qui-Gon, or Mace training him doesn't change the fact that Anakin is just a violent and emotionally unstable person. He probably would've still turned on the Jedi sooner or later.
To keep it 100, and this will be an unpopular opinion, I blame Qui-Gon for insisting they train Anakin in the first place.
Had they just listened to Yoda and Mace when they said he was too old, a lot of shyt could've been avoided. They had that rule for a reason.