Until I started visiting this forum, my intuition regarding these elementary frequentist concepts was less than zero. But going through your posts and references, along with the writing of @Sander has helped greatly. I don’t think I’m alone in this.
Looking back, it would have been easier for me to understand the obscure frequentist notion of “confidence” that is distinct from probability if it were linked to the likelihood concept. The likelihood function draws frequentist and Bayesian inference much closer.