I take your point. You are saying it has become formulaic just like reciting the Lord's prayer has become formulaic in Christianity.
But if we consider the teaching of it, the various purposes of calling on the Lord can be found here:
http://www.callingonthelord.org/
That is the
teaching of it.
I cannot think why a person would think
teaching about calling on the Lord to be peculiar (not referring to you, but the author of the site that said it was a peculiar teaching), unless they had a love of religion but an aversion to the Lord's presence, like the Pharisees.