I think this has been shown in some studies, f.ex.:
Fathers' decline in testosterone and synchrony with partner testosterone during pregnancy predicts greater postpartum relationship investment
Are you on TRT? I personally feel like you should be able to estimate yourself how much empathy you feel currently and whether that will suffice.
I personally feel more confident after switching from gel to cyp, but ultimately I think I'm able to be reasonable and empathize, even if I have to focus on it a bit more.
But the reason for getting on TRT for me is because I was just ruined before, plain and simple. Extreme fatigue for > 2 years straight. So I can't really imagine switching back for anything.