I think the key thing to remember here is that Batman has a sense of proportion - he knows when he can help, and when he can't, and most of the time it's the former, because he can do a hell of a lot, so we tend to forget that the latter comes up every now and again. In the first scan, there is nothing Batman can do. What's he going to do? Punch the Anti-Monitor and break his fist? He can't act as the strategist; this is Gotterdamerung territory here - the end of existence at the beginning of time, with the storm and the fury raging all around. Strategy comes down to 'focus all you have at the bad guy and hope it works'. Batman knows his limits - there's nothing he can do except contribute good vibes and hope it works. In the second, on the other hand, he's in his element - he CAN do something, he knows he can do it, and he knows they know that he can do it, so why waste time? He does it. It's a matter of knowing when his talents are suited to the situation, and when it's time to delegate. (Incidentally, does the first scan remind anyone else of that one story where basically the entire Marvel Universe is battling Galactus? Spidey and Daredevil show up, take one look at what they're dealing with and go 'whoa - no WAY can we do anything about this'. They then settle down as spectators, and Spidey mentions what a shame it is that no one brought popcorn. It's pretty funny; someone should post it.)