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.

Men can sire offspring into their 60s but not without some increased risk of undesirable outcomes such as their kid having schizophrenia https://en.wikipedia.org/wiki/Paternal_age_effect

Men offspring-ing in their 60's and dying 10 years later is perfect way to build a society where kids get to grow up without their fathers when they need them the most

Then again, they inherit a nice house at the beginning of their adulthood instead of being a landlord's squeezed client for decades.

There are trade-offs everywhere.