Why would anybody want to?
I've actually seen a player (a very good player!) call a push shot and make the one ball, leaving a difficult looking shot on the two. He totally confused his opponent (also a good player) and the guy stood there transfixed for a moment, unsure about how to proceed. He looked up at me and I just shook my head. It was a legal shot and now he had the choice to shoot or pass it back. The second player appeared to be a little lost as to what to do and finally gave the shot back. Then the first player who had pushed out, quickly got down and shot a lock up safety. The other guy had not seen or even considered this option, because he had been so stymied in his thinking. He fouled and lost the game. That was a turning point in the match and the first player went on to win decisively.
On a "push out", I can think of a couple scenarios that would require hitting the lowest number on the table.
1) The low ball is very close to a pocket but you have another ball blocking your shot. In this case you may opt to kick at the ball so it won't be near the pocket for your opponent.
2) You can only see part of the low ball, not enough to pocket it. You can play a safety but are worried that the speed of the cue ball needed may not hit a rail. So you call a "push out" just in case you don't get the rail.
These situations don't come up to often but it is possible.
But to the OP, you can hit the lowest number on the table with a "push out".
I pushed out a lot...more than a lot of younger posters on AZ....
...I played a lot in the old ‘roll out’ days.
I have never seen a situation where it would benefit a player to call push while hitting
the ball on....you’re just giving your opponent an extra decision to make....
...which is not to your advantage.
..it’s the same thing in call-shot eight-ball...
...why would anybody call ‘safe’ and make their ball?
If someone could post a pic showing these two layouts where it would be a good move...
...I’d like to see it.
pt....willing to learn something