My just turned 6 year old loves daddy more. She has told me, earnestly and apologetically. When I probed why (I was amused as I also have a teenager and have seen this exact pattern 10 years ago) she said it's because he lets her have more cookies and yoghurts and go on her tablet more. Simples!
I'm firmer about healthy eating, not too many treats, try and regulate screen time (hard in lockdown though!) So I do say "no " more. But I'm the one who does crafts with her (though I secretly hate it), does jigsaw and builds marble runs, takes her for walks and outings (H never initiates anything like this and often doesn't join us as he likes to potter at home), reads her stories, keeps a check on school stuff, knows who her friends are, chooses and buys all birthday and Christmas gifts (H wouldn't have a clue what she's into) ...
Of course she is 6 and loves cookies so she doesn't really give all that stuff much thought but I reckon it will sink in when she's older.
My son now coming up to 16 was like this with his dad who he thought was great (he is, but rather permissive/ laid back and gives in for a quiet life). He has said a few times recently that he now realises how important all the stuff I did was, and that he appreciates why I needed to be the strict one, though he also says some of the childhood days out and holidays (all initiated, researched and booked by me) were some of his happiest memories ever. He's been diagnosed with (HF) ASD and ADHD and it was me who battled to get his teachers to cooperate with it, researched it, dealt with CAMHS, dealt with the SENCO, eventually found and funded a private assessment as it was all taking so long. H went along with it all and has been supportive but in a passive way. I doubt he would have fought for it like I have. My son said his diagnosis and the additional support he now has is life changing and he's glad I did this for him. (Gratitude from a teen, woohoo!)