"I am assuming it’d not because my parents (not together) are long lost cousins but because the two sides link up somewhere so some people I will be related to on both sides?"
That's most likely the correct answer.
In some parts of the world is was not uncommon for the same families to intermarry over the generations. This was especially true in areas that were isolated or where there was a difference of religion or language for example.
This means that you are much more likely to have DNA connections through both sides of the family. This also means that the same DNA is kept within the family for a longer period of time than you would expect normally so the connections may be further back than you would normally expect. There's even a name for this, it is referred to as "endogamy"
Areas like Cornwall (and Norfolk) were prone to this. The Isles of Scilly are a great example; back in the 19th century it is estimated that around 80% of the marriages there were endogamous to Scilly. In other words, they just married each other.
But this also happened in other areas as well. I have some distant ancestors who went over to the American colonies in the 1600s. To be frank, there were a lot of families intermarrying each other back then (the population in Maryland and Virginia was very small) and you can still see the results of that in the DNA today.
Many Americans who trace their ancestry from early US colonial families have found this when getting their DNA results.
I remember somebody saying that they had colonial ancestry from Maryland and Virginia through both parents. While the parents weren't related to each other in any way over the last two hundred years, they had dozens of DNA matches who were related to them through both parents, and quite a few more who had a DNA match to one parent and a paper trail that connects them to the other.
It is not uncommon for colonial Americans, Ashkenazi Jews, French Canadians and US Cajuns to still show the results of this endogamy from centuries earlier.
So I would guess that it is probably something like that.
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"only one match is identified as related to me on both sides, plus some are unassigned."
I have similar figures for each parent but then there are 23 from both sides. Where these people have a tree (so I know where they are now), they are all over the place. Several in the USA and also Canada and Australia. On the other hand, there is also one match currently living in the city that our family have been living in for the last few centuries, so they didn't move far at all.
I have managed to find out how one of these people was related to me on both sides but it take a little while to sort it out.
I came across a DNA match who turned out to be my mum's half first cousin once removed. Hopefully that makes sense? Same grandfather but different grandmothers.
Her grandfather had married twice and the first wife was the grandmother of my mother and the second wife was the great-grandmother of this DNA match.
But is was also showing that she was related to my dad as well. I got lucky. The second wife was a widow and I found that her maiden name was a name that appears very often in my dad's tree.
From there I could trace the family back and it turned out this DNA match and my father were 7th cousins once removed as well as being half first cousin of my mum.