Do you change from cycling clothes when out and about
Just a matter of priorities, really. If I'm riding out to a meal, then I'll wear clothing appropriate for the meal, and choose my bike accordingly.

However if I'm out on a day's ride, I'll dress appropriate for the ride and a spare set of clothes just represents bulk. Do I really want to carry that extra weight? No way.

Third scenario, if I am away on a multi-day cycling trip, I will wear cycling gear for the day's riding, but will have a shirt and some trousers for the evening. These have to be as light as possible, as again they represent bulk in my pannier. I suppose I could get away with eating in the hotel in my lycra, it's just possibly a bit whiffy for other diners!