I came across with two idioms associated with immediacy in different context recently:
(1) Anyone who was hoping that the Watch would flop out of the box and fall short of the high standard that Apple boasts for its products is going to be disappointed. - Washington Post. April 4.
(2) Off the bat, $500,000 plus 1,200 people not traveling during our business travel season, spring and summer. In addition we track more than 3,500 negative news stories tied directly to our funny bill. – the comment of Vice president of Indiana Tourism agency on the influence of the controversy on religious freedom law - AP radio news. April 6.
I learned that “out of the box” means “immediately, from very beginning” in our comrades’ answers to my question on the above (1), which I posted EL&U yesterday.
I checked the meaning of “off the bat” with COD (10th Ed.) at hand, which shows “right off the bat” and defines it as “at the very beginning.”
Are “out of the box” and “off the bat” interchangeable as being synonymous, or are they different pieces by nature in terms of meaning and usage?
By the way, how come "off the bat" to mean “at the very beginning”?