It appears the argument is that if it supports ID, it can't be "Peer-reviewed".
Nope, although it may be a rather subtle distinction.
In a nutshell, supporting ID is only possible by way of lacking enough knowledge of biology to realize that it has no grounds for being proposed.
Tough, but that is how the dice roll.
I mean, if you want to say they're lying and committing fraud by calling themselves "Peer-reviewed" because they aren't affiliated with other organizations that you agree or with, or because they promote ID, I think you're having a True Scotsman fallacy and confirmation bias.
I suppose you would think so, until and unless you understood the biology involved. You will notice that it is all but completely impossible to find an ID proponent with actual biological knowledge.
Take your OP, for instance. As you have since emphasized in red and purple, the very abstract of Winston Ewert's article takes as a premise that Wilf and Ewens are assuming knowledge that they don't have about how genetic loci work. Yet Ewert does not even claim to have any actual biological study. He is basically telling biologists that he knows better about their field than they do, despite lacking the actual credentials.
Were Bio-Complexity a place for peer-reviewed articles, it would not even accept an article that commits such a basic mistake of hubris. And if it did by mistake, it would pass it through people with knowledge of the area, who would of course say that it is not fit for publication due to basic mistakes of understanding of how DNA works.
I suppose you could adopt a very partial reading of "peer reviewed" and run the article through some Computer Science personnel, but that wouldn't be very useful or very honest.
Sure, it may look at first glance that Bio-Complexity has to resort to people with no field credentials because of some sort of conspiracy or heavy bias. There is no shortage of people wanting to believe that it is so.
One has however to consider that the knowledge is available and has been tested by so many different, independent approaches that at this point it is very difficult to take denials seriously. If for no other reason, because the conspiracy theorists are implying that somehow all of the world's scientists have found common cause in refusing to take the opportunity to become famous and prestigious (among Creationists at least) by offering actual challenge to evolution.
As it turns out, many would, if they had a leg to stand on. Biologists are not immune to desire for fame.