¡Hola!
I read this thread, and I profess to say I understood everything said... or written... (or at least I think so... or I hope so)
To answer your question, "avisar" does
not require subjunctive in the subordinate clause. It may or may not have it, depending on how the sentence goes together, but it is
not a must.
The whole point of the subjunctive becomes a relatively "easy peasy" when you approach it "conceptually" (more than "grammatically"). Whatever is
a fact is indicative. Whatever is
not a fact in the realm of dreams, hypothetical factors, possibilities... etc. then, it is
subjunctive.
(I am not going to start to preach here, but, the fact that some English subjunctive forms are disappearing is a sign of that some civilization is becoming less 'idelistic' and more materialistic...)
At any rate, quoting your original post
(My examples in green, and subjuntive in dark-red/brown)
...the following types of main clauses require the subjunctive:
1) Deseo o necesidad (como querer, esperar, etc.)
Me gustaría avisarte, si pudiera.
2) Emociones, gustos y preferencias (como alegrarse, sorprenderse, molestarse, temerse, etc.)
Me gustaría avisarte, si me pusiera nervioso.
3) Influencia (como recomendar, proponer, ordenar, obligar, permitir, prohibir, oponerse, etc.)
Los científicos avisan que los cambios meteorológicos continúan. [This is a fact, they are warning about it, about the fact that these changes are still taking place. Indicative]
Intentan influir/obligar/ a los científicos para que avisen al público de que es posible que los cambios meteorológicos continúen. [This is an attempt to change the scientific opinion... "Avisen" is the one that becomes subjuctive, and then the last verb as well]
4) Duda y posibilidad (como dudar, ser posible, posiblemente, etc.)
Existe la posibilidad de que los científicos avisen que los cambios meteorológicos continuarán. (The subjunctive "avisen" itself, but not the subordinate verb.)
Existía la posibilidad de que los científicos avisasen que los cambios meteorológicos continuarían.
5) Certeza, pensamientos y creencias (como no creer, no pensar, etc.)
No creo que los científicos avisen que los cambios meteorológicos continuarán.
6) Juicios de valor (como parecerse bueno/malo, ser justo/importante, etc.)
At any rate, I hope my examples may be of help... but I am in the realm of "hope"... thus I use subjunctive, "I warn you, if you don't study and practice, you will not get it" (fact=indicative) But I encourage you, by telling you "If you were to figure out this whole subject you would impress all your Argentinian friends..." [subjunctive] "I warn you, you will... you will!" [future/ indicative]
Let me know if any Qs!