According to that page, the whole issue seems to be very nuanced. It also contains the quotes I attached below.
Be it as it may, I conclude that there is an elevated risk for problems the older you get (although for some issues, cause and effect may be reversed, which is hard to resolve), but that that risk may not be so significant as to outweigh other advantages.
> A simulation study concluded that reported paternal age effects on psychiatric disorders in the epidemiological literature are too large to be explained only by mutations. They conclude that a model in which parents with a genetic liability to psychiatric illness tend to reproduce later better explains the literature.[9]
> Later age at parenthood is also associated with a more stable family environment, with older parents being less likely to divorce or change partners.[43] Older parents also tend to occupy a higher socio-economic position and report feeling more devoted to their children and satisfied with their family.[43] On the other hand, the risk of the father dying before the child becomes an adult increases with paternal age.[43]
> According to a 2006 review, any adverse effects of advanced paternal age "should be weighed up against potential social advantages for children born to older fathers who are more likely to have progressed in their career and to have achieved financial security."[63]