>The above is tantamount to saying that once a company’s share price falls due to problems with the business prospects it will never again rise.<
No, I am saying that is the case if the company does nothing to alleviate the problems which caused the fall. I fail to see how a reverse split per se will do anything to improve GTC's cash position.
>You’re not arguing against reverse splits, but rather against owning a stock where the share price has declined due to problems with the business prospects.<