Mine (3 dc, ages 11, 9 and 3) all far prefer me to H.
Eldest will panic at the thought of me not being there (she has severe ASD), middle one will be anxious but cope (has AS) and youngest is the most likely to not mind either way but when the chips are down wants me.
In our case it is because H rarely does anything with them in a day to day basis, and even when he does it is stressful for them (eg he will say to dc1 he will play a game, but then diverts and checks work emails for half an hour, or goes to the loo first and takes 40 minutes, etc meaning he doesn't actually do what he says he will)
Dc get stressed (all need a solid routine due to SN) and he gets cross with them for not being patient.
So they prefer me to do stuff with them, as experience has shown them that they have a better time that way (I am far from perfect but if I say I will do something I do it, and I respect their need for plans and routine).
Tbh, I sympathise with my lot, so no real tips on how to solve it, other than get your H to step up if he is failing your dd as mine is with our dc.