Adding onto this, I feel like the child/children from a marriage like this also get mixed signals from their parents on what they should value in things like this. So firstly it confuses them and secondly, if they pick a side of any of their parent then they would feel like the other parent doesn't get them which might make them feel bad.
For a good marriage/parentalhood imo, there should be a common layer of value stack ie. bedrock of shared values and trust in a relationship. Disagreements can occur but with the idea of we are more similar than different. Maybe Video games help in either checking that or measuring that. I am not sure if competitive games better reflect it than relaxed games but honestly I feel like if you are already into a relationship and say video games don't work, then you also adapt to the other person values.