In the pilot episode of Star Trek: Deep Space Nine, the "timeless aliens" were a paradox, right?

First of all the idea that time is different for wormhole-beings makes some sense: modern physics theoretically allows wormholes to connect different places in space-time, so one end can be in the past, one in the future.

Now, here's my interpretation: The wormhole-beings dont know that they didn't know. They have actually a worse perception of time than we have. Imagine their brains like a computer into which you store facts but dont record the time at which the fact was added, also it can not form memories of its own. At every point in time it seems to it as if it had always known.

You hit the paradox on the head.

To beings that exist outside of 3 dimensions (and assuming time is the next dimension) any interaction is already both presumed to occur and presumed to not occur.

Reality for us is still based in 3 dimensions with time constantly moving forward. Our reaction is like the batter and spectators from our perspective...we see and calculate strike or hit and if hit to where.

To a being not set in our perception of time, there is an infinite number of ways the bat will miss the ball (including not being pitched and the reason if it is pitched), and if struck an infinite number of ways the ball will travel.

But in talking to the "timeless aliens" we have changed things for us. Our reality includes the discussion, so regardless if they exist in multiple possibilities, our reality is that "the ball was pitched."

A simpler version is, assuming we asked, did they respond, what does that response mean?

To have the conversation with Sisko, a linear being, they have to project a linear version of themselves. This projection of course would not know about linear beings/baseball at first and then learn about these things. They have always known about baseball and linear beings, except at that exact instant of which they learned it. Specifically, that whole conversation would be a single point in 4D projected onto Sisko's 3D plain of existence. So they never did not know about Baseball, except for one point in their lives between time (a point has absolutely no length, so it does not take up a second or some other small time period it takes up exactly 0 time, relative to their 4D existence).

So they were aware of linear time/baseball, as much as past or future tense can be applied to them. And they were somehow aware of when in linear time they learned this. And they were somehow able to project themselves into 3D space to have this conversation.