For breakfast, I certainly almost never dress up more than I do to go meet up with family and friends about town for a rather ordinary lunch. The only time I'd be dressed up more than usual for breakfast here is if I was having a breakfast meeting for reasons of present professional relations or on my way to a meeting.

Nothing to be worried about, as the presented attitude of the staff is just about perfect, no less so in terms of being personable in a non-discriminatory manner regardless of the guests' largely immutable characteristics at the time of check-in or when at the hotel.