I made the mistake of trying to do some research to verify your statement and just quit because I have a headache with all the chassis number switches. Needless to say, the Mk. IIB never had any iconic victories to boast of (with the single win at Reims being non-championship), and since all the Mk. IIBs were upgraded Mk. IIs, owners were motivated to return them to at least externally matching their original configurations (impossible to do it completely since, after Ken Miles' death in testing, all the Fords now had roll cages).
For instance, Chassis #1015, which was driven in the 1967 Le Mans 24 by Jo Schlesser and Guy Ligier wearing #6 is now in the Larry H. Miller Motorsports Park Museum in Salt Lake City, Utah. However, it has been returned to its 1966 Le Mans livery as the 2nd place #1 Mk. II of Ken Miles and Denny Hulme. By the way, this chassis also won Daytona in 1966 for Miles and Lloyd Ruby as #98.
Chassis number switches made tracking the other two '67 Le Mans Mk. IIBs a messy proposition, though #1031/1047, after being destroyed in the race, was restored by Holman-Moody and eventually sold to a Japanese customer (no indication of what version it now resembles).