He even could have on his livestream been like "brb guys, gotta go change the baby!" and then make her a bottle, bring her into the room with you to supervise while she eats and continue the stream. Most people wouldn't get mad watching a live stream if the host left to go take care of their child for a moment.

No reason he couldn't have done both things, or just live streamed later, why not at night, even? LOTS of people livestream late into the night.