Sometimes the question of intuition comes up... Can we do Divination without intuition and if we could, then what type of system would need intuition and what wouldn't.
In my humble view, a way to look at that is from the 4 Worlds. Makes sense for here, as they are considered as very connected to the Suits in Tarot, one way or another.

So there is the idea, we have a spark of Source in the Spiritual Dimensions that travels down through densities and levels and arrives in physical dense world around. Each of us has that, we call it "center" or whatever...
It goes through 4 noticeably different "planes" one as Spiritual, then Mental, Astral and Dense Physicality(with the overall idea that all 3 after Spiritual are Physical, one way or another).

Lets say its like building a house. Someone got the idea to build a house, hired a construction team, they build together a blueprint then they started working on it, at the end they have a house.
Now, the construction team may not know why the person wants a house, don't fully know how the house may be used later on as well, they know their job, however, so we can say that all before starting the construction process is Spiritual Dimensions, all after is finished as well. Whole life of the people is there, with much larger story then the process of building the house, so the Spiritual Dimensions are much larger then the rest.

Then we have the blueprint, Mental Dimensions. Just a simple blueprint of the building. All is measured in a way one can count on, its stable and whatever else happen can always get back to that.
Then we have the whole construction process. Tools everywhere, packages and vehicles, trash not needed in the work but left, dust and all sorts of stuff that will never stay in the finished houses, but are needed, so it can condense in the process of working on it, to form the finished house.
At the end we have the finished house as Dense Physicality, the tools are taken back by the workers, vehicles have left a while ago and the inhabitants are left to clean up the colossal mess that is left from all the work.

Another example. Someone is making some wonderful dish they saw in the net, for example. They have their whole life where that happens in(spiritual dimensions), they also have recipe and video of how to make it(mental dimensions), they start the process getting a lot more from the fridge(astral dimensions), unsure on what to use and to be sure they aren't missing something.
Then they use only what is in the recipe, the rest is either put away again for later use or is thrown out in the trash and with cooking we have the finished meal(physical dimensions).

Now, lets say one wants to witness the process. They want to know how it is going and where it will arrive. Perfect way - connect to the Spiritual Dimensions, details won't matter, we will know what will happen.  That isn't really Divination, however, most of the time, anyway. As it happens before the Systems start to play a role.

Second best option - connect to the Mental Dimensions. Take a look at the blueprint, the recipe of how its made. That is how science works, one can count on their multi-meter to provide them the resistance when measuring electrical components, and it will work surprisingly consistent and well, because its part of the blueprint.

Worst option - connect to the Astral Dimensions. As this is the whole work process, stuff is being born and disappears all the time, everything is fluid and rarely will keep stable shape or form. Any Divination done from here will be hit and miss. That is also the mass consciousness for the most part, depending where we connect to it, yet it can also be in the other 2, again depending on how we connect to it.

So lets say we Divine with intuition. If that intuition comes from previous knowledge(past lifes etc.) and uses a blueprint, clear structure, recipe etc. then it can be surprisingly accurate. Same thing if it comes from the spiritual dimensions.
Yet people that do that, are very few, and in my humble experience even they aren't always perfect, because they have to pierce through the Astral and that often changes the stuff that comes down.
Divining without intuition is easy to see, we have it in Science. People give prediction based on principles that are part of how it all works. We may not fully understand them, but we can count on them.

Now, the only question left, I think, is are there Divination system that step on the same scientific clarity  when operating and work from the Mental Dimensions. And in my humble view, the answer is resounding yes. As that principles are there and people have picked them up.

Is Tarot or Horary Astrology among them... I do not know, I doubt it, but its difficult to be sure, there may be someone using in like that. Yet I doubt it, but doesn't really matter, important part is that not only its possible, but its already applied in different systems around the Earth. If one wants to find out, they likely will, sooner or later. But intuition by itself... If its remembering how to do it from before its better, but still not perfect, other then that it will misfire, not that that is the end of the world, but there are other ways out there.