Case Play 10.3.6---The calling official has reported the foul and has given directions to players along the lane. The official is ready to put the ball at free thrower A1's disposal, but A1 is at the sideline talking to the coach. Ruling: A technical foul for delay is charged to A1. No warning is authorized in this situation....My question is::is A1 still entitled to shoot his free throw(s)...followed by team B shooting free throws for tec.

As all free throws are to be shot in the order in which the infraction occurred, A1 does get to shoot the free throws with the lane empty, followed by B shooting the tech free throws and getting the ball.

yes, he/she (A1) shoots the free throws with the lane cleared and then you go down the other end and shoot the free throws for the T

And if you don't give him his merited free-throws, it is a correctable error. However, if you incorrectly shoot the T first, then come back and shoot the original foul free throws, all is good and there is no correctable error, since all merited free throws were awarded.