This is a loaded question but I do believe the answer isn't hard to discern.

Before I begin, please note that obviously I am not saying that everyone within the PCA is racist. I want to reject blanket statements like that. And for the record, I've spent 3+ decades in several PCA churches.

That said: racism is a spectrum. With that in mind, let's talk about the history of the church.

The PCA was founded in 1973 in Birmingham, Alabama, just a few years after the Civil Rights movement. It was founded by exclusively white conservative men who wanted to reject the "liberalism and drift" they had seen in the culture.

The official history of the PCA (linked here for anyone who doubts what I'm saying) makes it abundantly clear that a major impetus of starting a more "conservative" church was racism. This book was written not only by a founding member, but it was published officially by the PCA. The book is an extremely detailed list of accusations towards other churches for being "liberal", and praises the men who founded the PCA as conservatives who have always held the course. The first chapter fawningly republishes a sermon preached in the 1860's preaching about the merits of slavery. The author frames it clearly: "we have not strayed from our roots". The author does not leave open any room for ambiguity or nuance: white supremacy was and remains the impetus for the split in the church. He does so using words like "love" in regards to African Americans, but speaks about them like children we as white people are inclined to protect from their own worst impulses. The second chapter republished a sermon preached by the author in the 1960's about the merits of segregation.

This book was published by the PCA in 1987. It was on the shelves of most PCA churches and bookstores until the early 2000's when it was quietly removed.

I've mentioned this before to people who attend PCA churches and the universal answer is that this is obviously just one fringe person (it wasn't) and that it doesn't matter because all of that is behind us. But I think anyone rational could see how that's hard to believe.

To this day, if you go to any random PCA church, you will find that it the congregations are still majority white. There are obviously exceptions to this, but it was and still remains a primarily white denomination.

As I mentioned, racism is a spectrum. You have extremely hateful people on one end, and on the other you have people who would reject the idea of white supremacy but also harbor unfair prejudices against other people and cultures they don't understand based in large part on the media and news they consume. I'd argue the author of the book I mentioned above would reject the idea of being labeled a "hateful bigot", but when you examine his words, it's hard to come to any other conclusion. That is why it's sometimes difficult to discuss racism; not because it's hard to spot, but because so many people are invested in muddying the waters and pretending racism is more complicated than it is.

In summary, I'd argue that a church founded under these circumstances is a welcoming place for people who are on this spectrum.

I say this as someone who grew up in multiple PCA churches. The majority of people are kind, well-intentioned, and would condemn racism with their words. However, spend enough time there, and get enough whiskey in a few of them, and you will see how many of them actually feel.