There are many episodes where the treat the parent as a toy. Specifically the dad.
For example. Theres an episode where the father is trying to give the kids a bath. They repeatedly ignore him that its time to be done playing it bathe. Or to stop splashing and make a mess. And by repeatedly i mean there's no control, eventually the Mom walks in and groans, there's a huge mess, kids still aren't bathed etc etc.
Its an overarching theme that the dad is largely a toy. And even when he tries to be stern or strict its joked and laughed off and ignored. Moreover that the kids cant really have "fun" without the dad being actively playing.
Overall the lesson is the kids learn the dad was right in the beginning and much effort would be saved by them listening, but that falls flat on a 3-6 year old passive listener (they do pick it up sometimes in the moment).
And there are actual times where I CANT be actively playing. I love to but its a time and place thing. There are times i have to fix things, clean up, prep dinner, etc etc. And our style is the kids in those moments need to be able to go and play.
Additionally, in our house, theres a time and place for playtime and joking and a time and place where you need to listen and do what we say. It can be a safety issue otherwise (ie: no stopping or listening in a store, parking lot, street etc). And even more the kids have to learn that when I say (or they say) "enough" that means enough and you need to respect the wishes of others, family or not.
Overall Bluey is decent, better than most even, and certainly tries to break that 50-80's mold of parents "not your firends" and theres a huge barrier/gap. But with all things, theres a happy medium. So as a result we have to moderate their intake of it (and plenty of other shows too). Bluey is just a good example where the fanbase can be rabid in their support, and sometimes forget that kids are kids and dont understand context or "real" vs "fake" well at all, something we as grown ups see as second nature now.