As I read the original post, before I saw Kalle’s response, I immediately thought, “The 10SS only applies if the injury is the ONLY reason the clock stopped. But the clock also stopped for the first down, so, no opportunity for the 10SS.” Now, if he waits until the game clock is re-started, and then goes down with the injury, yes, a 10SS would be applicable. And that is supported by AR 3-3-5-IX.
Can a team still take advantage of the injury TO rule? Yes, it is possible. As Kalle says, if a high profile program gets the short end of the stick on such a situation, there could be a rule change. But that is as it is, for now.
High school coaches? Oh, yeah. (In Texas, anyway.) Just last Thursday, on three different occasions with long gains, had a team (on defense) have the same player flop on the ground with a claimed leg injury, to keep Team A from hurrying to snap the ball for the next down. My U says he heard them using the code word, “Sniper,” to alert the guy to fall down. Nothing we could do, but stop the clock for an Injury T/O. None were within the last minute of a half, so we didn’t have the 10SS to deal with. But it was excruciatingly obvious, nonetheless.