I am 76, and having no problems with insurers.
You do not want to be "named". That does nothing for you unless the policy states that you are in fact insured. They can define "named" that way, but few do.
If you instruct in other folks' aircraft, you need to join SAFE, and get their liability policy. Around $500, but it has a tail, which is critically important. Then, and this is important, if you cannot afford to purchase the aircraft you are instructing in, get a "Waiver of Subrogation."
This is very complicated. Force the broker to put it in plain English. They can do that, but won't unless you ask.
An insurer wants to make money. You want coverage. The two goals are in conflict!