They are both wistful songs even though one is sad and one is sort of happy. But there are also similarities in the verse melodies and a bit in the choruses. However this is more pronounced in the version that was done by "Christian" on the CD "Coolidge 50" than it is in the original Shaw Brothers version, so it could be that Christian was channeling New Order in their version.
As a musician and composer, I’m often struck by similarities between pop songs. If you’ve ever listened to a tune on the radio and thought to yourself, “this sounds really familiar,” or “what does this melody remind me of,” (or more bluntly, “this song is a rip-off of …”) then you have shared in the experience.