I do think songs like "Anger Plays a Part", "Any Other Way", and "Hold Her Close" are classic Liam Finn songs that would fit well on his albums. I hear Neil helping with production and song craft on those, but I don't think they would have sounded substantially different if Liam had recorded them on his own.
I can see that. It's funny, though, because, as I mentioned earlier, "Anger" sounds a LOT to me like an unused Neil demo. It has his sense of melody to my ears, although, as I also mentioned, Neil's sense of melody has sorta "infected" the whole Finn family and, not being overly familiar with Lima's solo work, I wouldn't be surprised if Liam's developed a natural ability to go into that territory.