Define "lose information" as you are using it in this context. Defend your use of this term by employing quantitative analysis. We'll wait.
sickle-cell is the one other "beneficial mutation" we commonly hear about.
And for good reason.
Sickle cell is supposed to confer some limited immunity to malaria but, when you think about it, shooting somebody through the head would prevent them from dying of malaria as well. You wouldn't call that "beneficial".
You're completely misunderstanding the sickle-cell example. The sickle-cell allele is entirely beneficial and not harmful when heterozygous. Try again.
There are easier and healthier ways to avoid malaria. DDT for one.