I was going to mention the prototype 'Bug'. Placed with the artwork for the Gullwing Frisky there is a clear fellowship of design with the Swift at the end. The seating makes sense with the long gullwing door, but the car is overall larger than a Frisky, I think.
Having got the images of the suspension it is surely a case of working backwards to see if it shares commonality with the Bug. I am assuming the Bug was made for Meadows, if so, it will be their intellectual property and only 'sold' to a third party. That does not fit with the narrative of making the Swift car at, or by folk, at a different company.
Bedson seems to have been quite good at inheriting projects ideas he was around, but did not own. So he would have little worry in repeating an idea with someone else. His time with Lightburn seemed to be something of a frustration. Lightburn himself comes over as awkward.
It my even have been a link with Lightburn that set the Swift in motion. Remember the Zeta had the 3T fitted to it. The Zeta Sports, Bedson's first project there, the FMR500, with diff. Bedson left after the Saab sportscar did not happen. and Lightburn dicked about for several more years before putting the Zeta Sport for sale. through the Alfa agencies, allegedly.
Now looking at history and Bedson. He become a flight engineer and flew in converted Halifax under BOAC for a time. CRO firms would more than likely be used to convert the Halifax to civilian spec to go into service. There is an immediate link in two career paths going way back. He gained engineering qualifications enough to join Vickers on the Valiant project in a pretty high managerial level. Yet no one seems quite sure where this qualifications came from. CRO would be ideal as a place to learn and obtain such qualifications. Remembering my Father's immediate put down of Bedson's engineering pedigree, compared to his and the Vickers team, when he hove into view with the Frisky, and that sort of an idea flies (Ha) for me. Designers of state of the art flight would be a bit snotty about a qualification earned adapting their groups original designs. This area would be worth researching as it feels right for links, later to fruit into the Swift, even if Bedson was not in the UK at the time.
Lastly there is Bedson and racing cars. Is there evidence in your family, or at work, or with Cuxon, of any racing car interests. Bedson was particularly known for working with Alan Brown and Kieft.
I suppose there is no date mentioned for the pictures or the Swift project?