My opinion, not probable. Possible yes but if so the SAAC Registry is missing information and the car’s configuration was transformed more times than documented.
If the car in the last segment is CSX2048 then we have a two car mystery. If it is CSX2048 then there were at least two prototype cars painted red fitted with custom very large round tail lamps and large custom rear registration plate lamps. One of the oddities in the film clip is that the car appears to be running on Firestone brand tires. CSX2048 doesn’t have a legend of tire and wheel combination testing attached to it but another red Cobra with these odd rear lamps does.
Based on the SAAC Registry CSX2048 was painted a custom “pearl” color after arrival in California, used as a show car, and then stored for some period before being sent to Ford still painted “pearl” and fitted Goodyear race tires on chrome plated wire wheels. There is no mention of any prototyping with the car. The invoice to Ford has a date quoted as September 16, 1963. To be at Mid Ohio less than a full week later in red could be possible but would require expedited shipping, a quick color change, and installation of custom rear lamps. Possible, sure. Ford money ran like river but it seems some of these changes would have been captured in somebody’s notes and why bother if other another car was already configured that way.