They have always sung that crap song, they have always hated us since they missed out on promotion that year there were 30k at the Goldstone, we are regional rivals (albeit at opposite ends of the region), and historically we've played them frequently, mostly in the lower leagues.
The bottom...
This won't come as much of a surprise but a fair number of them really don't like us:
https://bournemouth-forum.vitalfootball.co.uk/threads/brighton-v-afc-bournemouth-sunday-2-pm.18257
And that's fine, because I don't like them. Annoying little tin pot twat of a club in their crap shoebox...