I think what "putting your child first" looks like is very subjective. If you feel uncomfortable with that concept you will view your parenting choices very differently to someone who is entirely happy with that sentiment. I reckon I parent with an odd blend of responsive and benign neglect. If an observer saw that I talk to my middle daughter on the phone every day as she walks home from school, while I am meeting my youngest daughter in person (but not able to talk to her properly as I am on the phone), is that neglect of one and pandering to the other? I would say it was responsive.
No one has mentioned siblings, apologies if I missed it! But I have 3 children, practically speaking if I wanted to pander to them all, I would need a Tardis. They have to compromise and go along with things all the time, it is part of being in a family. I do not expect them to be happy about that always, and they are not, but I allow them to state their point of view, sometimes they will get a concession, sometimes it is tough. I have higher 'needs' children as the older two have aspergers, this means my NT youngest dd has been restricted by the needs of her older siblings. So we try to balance things out for her when we can.
Dh and I have occasional nights out together, I go out alone often, I volunteer, I am trying to find a job at the moment, life goes on. The children have altered the way we live, we chose to have them, we enjoy them and love them but we don't believe in child first above everyone, they are learning about understanding themselves, their place in the world, their privilege in being well fed, cared for and in a country with a decent education system, NHS etc. They are learning that sometimes the world needs to change for them (as young people with Autism), and they have to be responsive to others in return. It is a process but I am proud of my children as they are today, but I would not dream to suggest my way of parenting is right for all children, it is right for them and the only way I know.