This conflates determinism with some form of "fate", or suggests that we're non-deterministic beings bound by a deterministic world.
Fate might suggest that you're always going to end with a particular result, so it doesn't matter what you do, but this is an incorrect representation of determinism.
Let's consider a basic calculator. Most people would agree that's something which deterministically takes some input and produces some output. But it's clearly the case that giving it different input produces different output. 2+2 is 4, but 3*3 is 9.
Following the analogy, it's trivially the case that humans, when presented with different data and arguments, end up with different conclusions. We also have direct evidence of this happening, of people changing their mind in response to what's presented to them (even if this doesn't happen as often as we'd maybe like, for a range of reasons such as cognitive biases).
So there would be "the point" in arguing about things.
Is there a point to trying to choose under determinism?
If determinism is true, it would be the case that you can't "choose" to try to change anyone's mind about anything - you'd either do it or you wouldn't do it.
But to realise that you can't choose this, and then to use this information to act in one way or the other, is a self-undermining line of reasoning. This reasoning presumes that you're able to choose whether to be subject to determinism, that you can notice determinism and then either submit or not. But the issue is that this process itself would be deterministic. You can't use whether determinism is true to shirk responsibility of making decisions. It's an invalid factor of consideration, and you'd be "choosing" (whether deterministically or not) to use this factor, instead of, say, considering how your actions would affect others. It's a bad excuse for someone to be a bad person or to give in to hopelessness.
* This doesn't "presuppose free will" or make determinism self-defeating, like others might say. It's merely a matter of fact that reasoning based on the foundation of one's reasoning is often invalid (particularly to conclude that one cannot reason) due to circularity. It would be similarly invalid to say "My reasoning is random, so I have no ability to influence my choices, so I can't decide to not go out and stab some people".
But you can absolutely use whether determinism is true to determine how to best act with respect to others or one's future self, e.g. you know your future self will be unable to resist eating snacks you have in your house, so your present self decides to not have snacks in the house as a result. This supposes some level of determinism is true (regardless of whether determinism is true more broadly), and it's a line of reasoning that most people use on a daily basis.
See also: What are the implications of accepting that we don't have free will?
Does determinism undermine its connection to truth?
"deterministic acquisition of beliefs arguably undermines their connection to the truth"
Does the calculator's deterministic acquisition of a result undermine its connection to the truth? Would we trust a calculator more if 2+2 doesn't necessarily give 4, but could instead give any number of results?
The very reason that we trust it is because it's deterministic. It actually seems to be non-determinism (particularly libertarian free will) which has this problem, because that means being able to end up with any number of results given the same input, which makes it questionable to say the result corresponds to a true thing in reality.
Quantum randomness?
Note: The possible fundamental randomness of particles due to quantum effects would mean determinism isn't true. But what I said above still applies. Randomness doesn't help get you to a meaningful concept of free will. To the point that things are random, there wouldn't be any point in trying to affect them... because they're random. So we can try to determine which things are deterministic, and try to affect those, while accepting that random (or things we can't accurately predict at this point in time) things are just things we need to accept.