I like to think it's like a Nine stanes rigg or the Loupin stanes. The Bridestones are less than ten miles away and that's an out of place monument, isn't it?

Here's the bulletin from the page you linked to
http://www.cheshirearchaeology.org.uk/wp-content/uploads/CAB-Vol-8.pdf
About the south barrow, it mentions the 'unusual feature' of 'nine massive boulders around the perimeter of the barrow' - glacial erratics, two upright and seven lying down (deliberately), about five metres apart, but with bigger gaps at the north and south 'giving the appearance of two separate semi-circles'. And then they say 'the diameter of the ensuing mound and circle was between 22 and 25m' 'large for a barrow but an average size for a stone circle'. And so they say that 'what is unusual and possibly unique' is the combination of stones and barrow in a lowland area. And there wasn't any burial in the middle, not wot you'd expect in a barrow.

Not bad for a barely perceptible bump in a field. Sounds like it deserves a bit more respect than getting a supermarket / housing estate dumped on it. Hmph.