They do in some form. Largely though, "regulator" action tends to be outcome based. Relying on "standards" can be difficult. In some caes, standards exist and ignoring them can point to negligence. Conversely though, standards don't exist for a lot of things and when they do, they're not a full solution. IE, it's possible to follow "standard security practices," while still being insecure. If regulators make that a "get-out"... you may as well just have legislation instead of a regulator.
In recent times, regulators and legislators don't understand the problems (maybe no one does) sufficiently to be specific with rules. They demand general things, outcomes (you will not lose data) and general operating principles (you will secure your users' data , have good policies, and enforce them).
Both data protection (eg gdpr) and anti money laundering rules are examples of recent areas that work this way. If a bank's customer has been depositing stolen money, financing terrorism or something... the bank is at risk. Their policies will be examined and circumstances do get taken into account, but the "standards" they're judged against aren't absolute and standards compliance doesn't totally protect them. OTOH, if they don't adhere to their own policies or the policies are bad... it is enough to get them in trouble.
Lawyers, btw, hate this emerging system.
In short, modern "regulator enforcement" is a lot less legible & "letter of the law" oriented than legal environments that we are going used to.