>might differ

But they don't.

It's reasonably clear, as it is that if it's raining I'll get wet when I go outside, that Partition is being referred to. More or less "all" Punjabis were affected by the Partition experience in some way; millions relocated. It is THE formative event in modern Punjabi history and identity. Sometimes they just refer to it as "1947" (or 'santaali" = '47). Sometimes as "vanD" or "baTvaara" ( = "partition").

The detail, in the song, that the girl's dad was uprooted during the Partition, when he was 2 years old, is rather unremarkable in perspective. Family then goes to England in 1969 - most likely just to try out their hand and a different/better life - by choice. They would not have been desperate refugees.

However, the author appears to be trying to paint some overall picture of this "dark" and exotic culture, emphasizing all these exaggerated woes and cultural differences, that simply misses the mark because it happens to lack adequate insight. It happens sometimes, not a biggie.