First we need to make clear that the question means consciously applied logic and reason. Neither can be completely removed: there is a reason why an apple falls to earth; there is a logic to similar things behaving in a similar way. Gravity is unaware of, and does not use, logic or reason.
We are referring to conscious reason and logic, and the question says 'unbound' which I generally infer to mean that logic and reason do not inform their actions, not that they are unaware of them. It is possible (though somewhat unlikely) that a species which we would consider as having intelligence (since it will communicate) could exist.
So we have to consider their possible reasons for communicating with us. Note that they do not apply reason, but there will nevertheless be a reason that applies. I see that reason as being some natural force acting upon them, like gravity: they may naturally seek sentient beings, they may gain some emotional nourishment from this. This is unlikely to be malevolent, because that requires a certain amount of reason, but cows probably do not malevolently eat grass.
We have to assume that communication satisfies some kind of need. Of course, it could be random and accidental, but in this case there is nothing to maintain their communication and it can go nowhere purposefully. Note that gravity does not have a conscious purpose, but it was still able to pursuade Newton.
If they are communicating with us, then they must be drawn to us. They are unbound by our laws of physics, which implies that they cannot interact with finesse physically (although they may be able to clumsily interact), so communication would fill that need. They communicate with us to survive in our world - it would seem that is the only presence they have.
So, they will communicate with the intention of continuing communication. The communication will be like breathing to them and they will just keep on doing it - it will not necessarily be meaningful, although there may be sense to it. (A properly constructed sentence may well make sense, but is not necessarily meaningful in context)
However, we will read meaning into it, because that is what we do; interpreting meaning into the relatively meaningless. This is generally called divination and not disimilar to reading the future from tealeaves or the entrails of goats. There is though, the possibility that knowledge or wisdom or some kind of ethereal appreciation will be imparted, though maybe indirectly.
This will not, however, be intentional on their part. They have no clear intention (end point) beyond their natural proclivity to communicate (or maybe share) their existence.
They are probably, though not inevitably, benign. If the communication is their (unconscious) intention, then they will naturally continue that. It is in their interests, though unreasoned, to do nothing to upset that, although they will probably be unaware, through lack of reason, what they may or may not do to upset us.
Of course, they still may feed on us, emotionally or spiritually - though not physically.