‘Rich’ is a relative term but my family might qualify as ‘old rich’ and do tend to distinguish from ‘new rich’. The terms are misnomers. People who might be labelled ‘new rich’ or ‘nouveau riche’ do not have the qualities of tastes, behaviours, or values that are handed down and refined over many generations. It is a relatively easy-to-observe distinction.
I am not saying it’s an important distinction to me.