It's not that they're literally irrelevant as in have no effects; they're just irrelevant in the thinking of who you're trading with - no matter how complex the algorithm it's still buying or selling on behalf of a person or company.
> buying or selling on behalf of a person or company
Again, that's what you'd think and it's technically true that you can know who is running what system, but the systems are too complex to say they are really working on behalf of anything except the rules of min/maxing.
How do you explain bidding the price of a textbook up to millions of dollars is "working on behalf" of anyone?