Sorry if my brain is foggy this morning, but shouldn't the above say that all CE's resume play at the POI when it was correctly recognized, except for when there is NO change in possession and the CE requires FTs to be attempted?

Yes, there should of been a "no" there.

Change of Possession
 

What constitutes a change of possession is not always obvious. We discussed this casebook play last year or two years.

2.10.1 SITUATION A: A1 is fouled and entitled to two free throws under the double-bonus rule, however, the officials indicate a one-and-one bonus situation. The first attempt is unsuccessful; B4 rebounds the ball and passes it up to B2. The error is discovered with B2 in possession of the live ball near mid-court.
RULING: The error is discovered within the correctable error timeframe, and shall be corrected. Team B securing the rebound and passing to a teammate constitutes no change in team possession. Therefore, A1 will receive the merited free throw with players on the lane and play resumes from the free throw. (2-10-1a)