RE: The Latin American Report # 532

From the above link:

"An application for TPS does not affect an application for asylum or any other immigration benefit and vice versa. Denial of an application for asylum or any other immigration benefit does not affect your ability to register for TPS, although the grounds of denial of that application may also lead to denial of TPS."

You are correct that TPS does not provide itself a route to permanent residency or citizenship, but application for such immigration status remains available to those that seek it, although it does look like doing so could also compromise their TPS status, if things go wrong.

Thanks for the additional, informative, link.