Queen Elizabeth is intensely loyal to her family. Prince George is one of the youngest but most important members. His birth ensured that the future King, William will have an heir. The British public reacted with positivity when Kate gave birth to a baby boy (via Glamour).
George has a petulant streak but that’s part of being a little boy. Sometimes he’s naughty at big events because they bore him. It’s not surprising because it’s not easy to attend these grand state affairs. Queen Elizabeth enjoyed it when her family visited her and loved her great-grandson.