Interesting to discover that BA doesn't actually hold a Royal Warrant. The BA “To Fly To Serve” crest bares a very similar design to that of HM The Queen crest and gives the false impression they do. I am not sure how much flying the Royal Family does with commercial airlines such as BA and ones by the state such as the UK Government and RAF, but looking on The Royal Warrant Holders Association website they state, the reason why a company or individual might lose a Royal Warrant if
"The quality of the product or service is not up to standard. The product or service is no longer manufactured or available. The goods or services are no longer required, or orders have dwindled."
https://www.royalwarrant.org/frequently-asked-questions
Have they every held a Royal Warrant or are they even number one choice for the Royal family?