It doesn't "defy all logic," and you must not watch a lot of televised NFL football then. Because a color analyst usually says it every single time there's a false start inside the 10, that the offense really doesn't mind those kinds of penalties because they have more room to work with. I'm honestly kind of surprised the other person's comment met this kind of resistance because this gets brought up in games all the time. When an offense is right up to the goal line and can't, or is unlikely to throw, the defense can more or less float 9 guys in a tight space and it can be very hard to throw into. When you have 20, 25 yards to work with, you have more options. As far as a team not taking a false start on a 2-pt conversion, that's not the same thing. The clock is of no consequence on a 2-pt conversion, the run is an option, there is no next play or field goal alternative, etc., and those plays are practiced all the time. I specifically emphasized when there is no option to run as a caveat. I don't know, I only played the game for 13 years and have watched on TV since I was 5. This is the first I'm hearing of anyone not wanting to have the ball as close to the goal line as possible. I've certainly heard announcers say how bad of a penalty it is to have a false start inside the 5 but never heard of it being a good thing. It defies logic because you would assume the closer you are to the endzone, the easier it would be to score. After a quick google search here's a reddit post with some numbers
It is a little interesting that it seems the three yard line is a little more preferable than the two yard line and that the four and the two yard line are about equal.