I have 20 years of experience myself, and I've interviewed and worked with a lot of people with same experience that couldn't code properly (and some of them were actually good engineers). Yes, they'd describe roughly how something should work, but the actual implementation would be super buggy, ignoring any corner cases, etc. People who stopped doing any hands on work more than a decade ago, and are just coasting without touching any code, by having more an architect/mentor/org-expert role.

If someone feels "insulted" by having to actually write code suggests that you're looking for a role where you aren't expected to actually write code. That's fine, but probably not what they're looking for.

Also, I'd advice you to be little more open to a fact, that someone with less experience than you is asking you questions. That's not a great attitude to find good jobs at big IT companies, that are often full of young, often brilliant people.

edit: typo