Push.
It's worth noting that Brandon Ingram's defense actually rates as quite good this year - considerably ahead of his offense. So while I would take Brown over Ingram as a defensive player (and I think it'll stay that way), it's not a blowout.
Similarly, I'd take Ingram over Brown in terms of offensive potential, but it's not a blowout. A lot of Ingram's projection makes the assumption that he eventually becomes a good shooter, which he currently is not - struggles both from three and from the line. It may be fair to say that Ingram's greater responsibility in his offense depresses his stats, while Brown (thanks to superior surrounding talent and a superior coach) is generally allowed to stick to his strengths.
I like both players, and I think it's a very even comparison overall.