Question is what would be her motivation
Googling around she has been described as 'fiercely ambitious.' and other less flattering terms. Protecting his legacy? Taking care of business? Chuck Yeager is almost a trademark and there have been several lawsuits where his name was merely mentioned in an advertisement. I suspect Chuck Yeager Inc. does bring in the money.
But you have to look at it from a different angle, why would a 90 year old, ex fighter jock, celebrated test pilot, General of the Air Force, American and world icon spend his latter years on Facebook and Twitter posting several times a day? Often having petty spats with strangers like some half famous celebrity? He has nothing to prove.
Frankly it would be disappointing if it was really him posting.