1. No. Take the points until you have to go for two.
2. Definitely not the same situation.
“Take the points until you have to go for two” may maximize the length of time you have a chance to win, but it doesn’t necessarily maximize your chances of winning - the two statements are often used as if they are the same thing, but they aren’t. Going for two down 14 in the 4th quarter is the “analytics” play as seen in this article, because it maximizes your chances to win the game.
https://predictivefootball.com/late-and-trailing-by-14-points-always-go-for-2-after-a-touchdown/