He's also an individual who does not give up his own personal beliefs or opinions just bc he is President. It would only infringe on The People's constitutional rights if he was IMPOSING a religion on the country.
So no, he didn't do this to be neutral, he did it as a sign he does not participate in their evil. Especially when the stupid shit says "I believe in the Catholic Church". The episcopal church is an arm of the catholic. Just another cult masquerading as Christian.