Incredible, I didn’t know John Adams wore one himself. I believe Washington and Adams also rode to their inaugurations in fancy carriages. The concept of a gentleman, the behaviors, dress, and respect associated with that role are pretty impressive, certainly elements of a time gone by.
It’s also great to think about how at the first few inaugurations the process was essentially new, and they made it up as they went, of course with deep thoughtfulness, yet sill decided as they went along.