Bush was a true Commander in Chief...troops don’t follow someone they can’t respect and they loved him cause they knew he cared about each and everyone of them!
Yes, absolutely. As if often the case with English words, "true" has several meanings. The two that fit here are:
Fully realized or fulfilled -- President Bush was the full realization of what a commander-in-chief should be, following in the footsteps of our first CIC, George Washington.
That which is the case rather than what is...assumed -- a great many people assumed that the twisted caricature painted of this man by the media was true. It was not. Rather, the case is what we see in these photos and read in his quotes. That is the true essence of this great man.