I testify to ability to level up as Oathbreaker. I'm 4th lvl ATM.
I'm not certain I lost anything from Paladin 2lvl - that's when when I changed teams - I am baffled by retaining a ability to Heal with Lay on Hands ... alongside being able to Inflict Wounds ...
Hellish Rebuke is FUN!
Just to clarify, it's not the ability to level up as an Oathbreaker that I was wondering about, but if you could level up while in the intermediate state of having broken your oath (ie got the "Oath Broken" text pop up on screen and in the combat log) but not yet having committed to being an Oathbreaker to the knight or having paid him to restore your oath. That's the state in which you lose the ability to channel, though you regain it whichever way you then jump.
Apologies if you'd already realised that was what I was talking about, but it sounded as though you might be talking about levelling up
after having signed up as an Oathbreaker to the knight.