I doubt that many people care. Nearly everyone I know - even my 80 year old grandparents check Flightradar24 before coming to collect us. I can’t remember the last time I visited an airport website to check arrivals and I’m sure that’s the case for a lot of people.
I also doubt it is to avoid embarrassment. It’s data that is easy to find if anyone wanted to make a point. At some points during the past year even Heathrow has had tiny numbers of flights. I flew out of T2 last year at the height of lockdown 1 and there were about 8 flights on the board for the whole day.