I think I get what you are saying. By definition we will always hit keep records for every selected statistic over time.
We can also have the coldest day in Central Park at some point.
One way to look at climate change in terms of records: there are a lot more record highs than record lows these days. If the climate were unchanging you'd expect those numbers to be equal.
Wouldn’t it be 1/(number of days since 1888) for a given day? Or 1/(number of years) for a given year? So less than 1/100 if static and independent
That's how I read it too, but the record is only for hottest June 24th of all the June 24ths since 1888. So yeah it's 1/number of years or so but we get 365 attempts at that a year to have this headline.