I think this is the crux of the issue.
In the UK, when buying a car, the purchaser would normally inspect the car and then transfer the money to the previous owner at the point of sale (or use a bankers draft, if acceptable). Arranging the purchase of a high value item without someone inspecting the item is always going to raise suspicion.
Fraudsters do this all the time with cars using the line 'I accidentally sent you £10,000 for your £4000 car, please refund the £6000 difference to me and my friend will come and collect the car tomorrow'. Not long after, the money transferred is found to be stolen and returned to the original bank account, leaving the seller without a car and an additional £6,000 out of pocket.