In the UK, policy is to "ban" applicants from entering for various periods of between 1 and 10 years if they are found to commit various misdeeds, like deception on an application, overstaying one's leave to be in the country, illegal entry, using fraudulent identities while in the country, etc.,
It's clear that the bans are applied to applications for certain visa types like visitor and tier 4 visas.
Yet, I gather that certain types of applications would trump such bans, and thus not be affected by them, and I further imagine that some other types may perhaps weigh and be influenced by them as one factor of consideration, but not be absolutely determined by them a priori to consideration of the merits of the contents of the actual application itself.
Applications under EDHR article 8 come to mind as those which would likely be wholly unfazed by the presence or absence of an active ban on the subject from the country.
"immigration rules" uk. Unless you're very patient or a very quick reader, you will indeed need to be pointed to the right sections. Nearly everyone agrees that the immigration rules are almost incomprehensibly complex and poorly drafted.