Yes, it is known that the LM-7 is based off the man-rated LM-2F, so it shouldn't come as a surprise that the new rocket will be man-rated as well.
However, the decision to test a scaled-down model of the capsule on the LM-7, specifically, is probably because the LM-7 will be the only (or the first) rocket that is "compatible" with it. CNSA could easily have tested the capsule on a proven LV like the LM-2F/G, but did not for that reason.
No, I don't think that makes sense -- the fact that it is a subscale demonstrator, and a demonstrator of only the capsule (rather than full scale spacecraft+capsule), should mean that launching subscale capsule demonstrators is a not going to be a regular occurrence. Therefore, it should mean that whether a rocket is "compatible" with the subscale demonstrator will have no bearing in regards to whether the rocket is compatible with a full scale spacecraft+full scale capsule, because they will be completely different sizes and dimensions anyway.
Given what we know about the payloads that the LM-2 family are compatible with and the variety of payloads that have been launched before, and the potential weight and dimensions of a subscape demonstrator capsule, there is no reason to think that an LM-2 variant rocket could not test a subscape capsule demonstrator instead.
So why are they using LM-7 instead of a proven LM-2 variant? Well, I think they may be using the first launch of LM-7 to test a subscale demonstrator because they would prefer to use proven launch vehicles to actually launch proper (and more expensive) satellites, whereas they can afford to use the first flight of a new rocket to launch a relatively unimportant demonstrator payload...
(in other words, if the first launch of the LM-7 fails, they won't lose anything too valuable, combined with the demand for reliable LM-2 rockets for satellite launches)
That said, I would be interested in what other payloads the LM-7 may have in addition to the subscale capsule demonstrator, or if the capsule demonstrator will be the only payload.