I don't think anyone was suggesting that it shouldn't be able to give access to the other "Base Spirits," I think the question is "should they be able to gain access to summon the spirits that are normally restricted from summoning except by extreme means?"
To take a page out of Pathfinder's playbook, we might be able to use better terminology to explain things. Pathfinder has a lot of classes that a character can take. Standard classes (those available to lvl 1 characters) are called "Base Classes" which includes all of the extra classes that have been added in later books. If someone wants to refer to only the classes that were released in the original Core Rulebook they refer to them as "Core Classes." All of the Core Classes are also Base Classes.
TL;DR
By Base Spirits I mean Spirits of: Fire, Air, Water, Earth, Man, Beasts, Guardian, Guidance, Plant, and Task
The first 6 (Elements plus Man and Beast) would be referred to as Core Spirits, while the latter four are additional Core spirits added in Street Grimoire.
Now, non-base spirits would be things like Shedim, Toxics, Invae (Insects), Shadows, etc. So the question is, should Dedicated Conjurer allow access to ANY spirit or just the Basic-types.