You may be right.
The aforementioned In The Sky is cheesy.
Secondary Waltz is pretty cheesy, although I do like it.
"It's the end of the thirties, no time for arties" CHEEEEESSSSSE!
Ah, beat me to it!
I'll raise you:
All That Matters
Whoop De Doo
This Is Us
True Love Will Never Fade
Monteleone
Wherever I Go
and probably some from Privateering I can't recall.
I would argue about most of these! All That Matters is an old-time waltz and almost like a lullaby (I once got a request to teach this song to a man who wanted to sing it for his newborn daughter), so it's cheesy by definition, and not by choice. The same story with Wherever I Go, I think.
Whoop De Doo is a sarcastic song with contrasting laidback music and sad melancholic lyrics. Personally, I'm so into the character that I don't think about the cheesiness of it at all.
True Love Will Never Fade on the surface is the cheesiest song on Earth, I mean, look at the title! But upon closer inspection, you realize how this tattoo might symbolize something like Mark's affection for guitars or music that will never fade, something among those lines. And again, with stellar guitar work on this song, you almost stop thinking about cheesiness.
Monteleone, I already discussed that one. Without knowing the story, about Monteleone, and how guitars are built, the song doesn't make sense.
Anyway, many of Mark's songs ask for a serious suspension of disbelief to accept or rethink the cheesiness of it. It might be not what you think it is is what I'm saying.