First of all wellcome here !
But to admit, in parts it sounds reasonably, in other parts I have some reservations to believe.
Could You therefore please provide the source of this information and even more og this three-side drawing ?
But let's discuss:
YES, it sounds reasonable that the J-8II re-used this intake configuration, but most likely simply as a split half-sided design derived from the original J-8. The DF-113 seems unlikely, since it was developed by Harbin and surely not from the J-11 (old), which came only much later ... following my information, concept studies for the original J-8 began in 1964, development of the J-8I began only in 1976 an an improved all-weather version and requirements for a much improved version - which later eveolved into the J-8II - were approved in September 1980 with concept definition studies began in April 1981.
As such I think the timeline You describe does not fit and it is highly unlikely that already in 1968 a J-8II was considered 8 ears before the J-8I. Even more the J-10 (old) had a boxy intake similar to the MiG-25 and was only in development between 1968-1970 and the J-11 (old) was initiated only in August 1969; this design in fact had the intake configuration You describe.
As such how could the J-8II take over in 1967 a design of an intake from fighters, which were not even under development at that time ?
Deino