As fathers, we have to do better. If you're in a situation where the mother of your child is limiting access because of certain things you're doing, shouldn't you take a step back and consider changing those behaviors instead of making the situation worse?
If she asks you not to post your child on the internet in a negative way just to bash or disrespect her, respect her wishes. If your child has a medical condition and she asks you to avoid certain things that could negatively affect his health, respect that. If she asks you not to speak negatively about her in front of the child because she doesn't want him repeating those things at school to his teachers or classmates, respect that too.
If she's willing to let you spend time with your child but needs a consistent schedule that works for both parents, be willing to compromise. Parenting isn't just about what works for you. The mother has a life, responsibilities, and other commitments too. The world doesn't revolve around one parent.
Constantly bashing the mother, disregarding her concerns, and refusing to show basic respect will get you absolutely nowhere. And if she has moved on and is in a relationship with someone who genuinely loves and treats your child like his own, respect that man as well. She could be with someone who doesn't care about your child at all, but instead, your child has another positive person in his life.
At the end of the day, this isn't about the mother winning or the father winning. It's about what's best for the child.
If you're a father who genuinely wants to be present and have a meaningful relationship with your child, start by looking at your own actions. Be respectful, be cooperative, be consistent, and be willing to make changes when necessary.
Sometimes, being a better father starts with learning how to be a better co-parent. Stop making everything about your feelings and ego. Put your child first. That's what truly matters.