My first and middle names are John and Richard. A couple of times on trips to the US people have read my initials as 'Jr'. Very surprising the first time! Has never happened to me in the UK.
On some forms in the US, it's listed as a suffix. Some agencies enforce it, others do not (SSA does not, for example). And colloquially, when"Senior" dies, the son often stops using "Junior" (though that's not a legal change).
UK, Can, and AUS are similar, but not exactly the same as the US. And NSW in AUS complicates matters by outright prohibiting roman numberals are Jnr/Snr suffixes. Mexico has more restrictions due to the mothers-last-name, fathers-last-name naming convention.
Personally, I dig the Nordic and Arabic "x, son of y, son of z, son of..." patterns.
And it's not even part of his legal name.
> How does that work when they’re 60 with grandkids?
They get called "grandpa" like everyone else with grandchildren.