No. To be frank, I'm hard pressed to see how you could have read the other thread, which includes the following 2 quotes, and still believe that a retouch situation is a force play:
Here's an approved ruling from 4.09: (everything in italics is a direct quote from the rules or casebooks.)
APPROVED RULING: One out, Jones on third, Smith on first, and Brown flies out to right field. Two outs. Jones tags up and scores after the catch. Smith attempted to return to first but the right fielder’s throw beat him to the base. three outs. But Jones scored before the throw to catch Smith reached first base, hence Jones’ run counts. It was not a force play.
The Fed Casebook:
9.1.1 SITUATION B: With one out, R1 is on third and R2 is on second base when B4 hits a long fly ball that is caught by F8. R1 remains in contact with his base but R2 has nearly advanced to third. The throw to F4 arrives at second base ahead of R2’s return. RULING: R2 is out for the third out. If R1 scored before R2 was retired, the run counts. The inning ended with a play in which the third out was not a force out.
Here's some more relevant info:
NFHS 2-29 (This is the definition of a force play.)
ART. 3 A force play is a play in which a runner (or two or three runners) loses his right to the base he occupies and is forced to advance because the batter becomes a batter-runner. For a given runner, a force play ends as soon as he touches the next base or a following runner is put out at a previous base. When a runner advances beyond a base to which he is forced without touching it, the force play remains. Also, a force situation is reinstated when a runner retreats past the base to which he was forced to advance.
OBR 7.08 Any runner is out when--
(d) He fails to retouch his base after a fair or foul ball is legally caught before he, or his base, is tagged by a fielder. He shall not be called out for failure to retouch his base after the first following pitch, or any play or attempted play. This is an appeal play;
OBR 2 Definitions:
An APPEAL is the act of a fielder in claiming violation of the rules by the offensive team.
The thing to understand here is that a runner who is forced to a base hasn't broken a rule. On the other hand, a player who fails to retouch after a caught batted ball was first touched by a fielder has violated a rule, and may be called out on appeal.