Other than a short PS-type blurb, virtually everything that the President says will be regarded as political and treated as such, whether or not it actually is. It is unfair, but it is reality.
In your opinion has it always been thus? Would our nation have been equally suspicious of George Washington speaking it school children?
I grew up with Eisenhower as president... and it is difficult for me to imagine people expressing outrage at the thought of him addressing school children. Actually, I remember my entire elementary school class standing beside the road to watch him as he passed by.
Kennedy later had initiatives to encourage physical fitness and learning science among school children.... again I do not recall indignant national outrage.
Has the nation changed?
