Well,. sure it does. For one thing, having a Bible in a drawer if the occupant chooses to read something from it--or not--isn't the same as a pamphlet challenging the reader to join or believe something that;s rather specific..
In addition, the Bible, as noted, is a common feature of all Christian churches. And a most important one, at that.
That means that while placing the Bible may not appeal to every last person, we know it has a relationship to a majority of Americans and hence, a much larger percentage of the people staying in that hotel room than, say, people looking for a new church to join, people wanting to know how to understand the Book of Revelation, or when the next lecture series will begin at some local church.