I would assume that it's for Kenya Airways flights only (after quitting Flying Blue and going to the bother of setting up their own FFP, they're probably more interested now in getting you used to flying on KQ than on having this promotion benefit AF, KL, DL and the other Skyteam airlines instead of KQ directly....)
Besides, people are reporting difficulty getting their Asante number recognised by other Skyteam airlines, so the surest way right now to actually have miles/flights post to your account is to fly on KQ flights.
Please ask Asante Rewards and let us know what they say!
(Do you have status elsewhere? You can simply request a status match, which is a far easier way to get status rather than flying 5/8/14 sectors in the next 7 weeks!)