I agree that his neutral game and damage are better than Relius, but his mixups aren't really anything scary. I feel it's the same as Relius in that it's good that he has them, but you're not going to be scoring a lot of overheads consistently. Plus he needs heat for his overheads so his mixup really isn't anything special. In my opinion, if he's close enough to be doing mixups then it's a good thing because now I don't have to worry about getting in, which I feel is the most problematic part of this matchup.
Lambda matchup is just hell though. There is literally no neutral game because she will be pressuring you from full screen. Even summoning Ignis takes more thought than usual because if you get careless, that's a free hit. Although thankfully she doesn't have a lot of answers when you actually do get close.