Your source doesn't contradict the fact that women's fertility has a sharper and earlier cliff than men's. It doesn't even use the same age brackets for men and women. It compares men age over 45 against men age under 25, whereas for women the study compared those age > 35 vs age < 25.

Even above age 35, 85% of men are able to conceive within 12 months: https://pmc.ncbi.nlm.nih.gov/articles/PMC11026002/

Like it or not, fertility decline is substantially different between the sexes.

Gender does matter though. Men can sire offspring into their 60s, women have marked decline in fertility starting from 32 and hit an absolute wall (menopause) by their fifties.