Yes, I think they would. And this is not a vegetarian-thing. It's an attitude of radical vegans. The Vegan Society has a boiler plate statement about human slavery and trafficking. But the common thing is to compare animal slavery to human slavery. Something that at least one vegan is begging them to stop doing.
Comparisons of killing animals to the Holocaust are common.
I answered a question on this site about "https://vegetarianism.stackexchange.com/questions/2261/durable-trekking-boots-vegan" where I included the statement and link below. I was downvoted, the answer was called "misinformation" and the question was deleted by the moderator.
Now, someone might not agree with an answer, but slavery in the supply chain is very real.
Vegans promote animal rights over human rights because they believe animals are oppressed and humans are the oppressors. They care about "https://vegetarianism.stackexchange.com/questions/1559/what-vegan-or-animal-rights-events-have-spread-internationally/1566#1566".
They COULD check labels and understand supply chains and find out where clothing is sourced so they don't support human trafficking and slavery inadvertently. I mean, even Bayer Aspirin is a target of investigation, but not Nike shoes?? And it's not that they don't care about people. I know they do. But they don't have room in their ideology to address human slavery. It's not in the gospel they preach.
The "misinformation" that caused that answer to be deleted...
Sadly, there is a lot of slavery in supply chains.
https://www.antislavery.org/slavery-today/slavery-in-global-supply-chains/
Buying a pair of vegan boots thinking you're saving an animal or
preventing animal cruelty is good. But the only way to get them is
through a supply chain where almost 20% of the world’s global cotton
production is linked to forced labor. In my opinion, vegan boots made
by a slave is not a win.