Better prepare yourself for the long list of things you depend on provided by companies that treat their employees like shit. Is your argument that we should try to remain ignorant of these things?
Is that really the most charitable way you could read parents comment? Obviously they're not arguing for that, but rather arguing for "voting with your money", so stop using services where abuse is evident/apparent.
And yes, it's a fairly large list, but it's not unmanageable. Me and my family try to do the same, it's not a huge hassle and it's not like you have to look up every single company before you buy anything, but if something comes up about a specific brand like "Nestle" or whatever, then we change to something else.
Lastly, the list is smaller than you think, I think. Most common consumer stuff you have at home is made by few huge corporations owning all the brands. "The Illusion of Choice in Consumer Brands" (https://www.visualcapitalist.com/illusion-of-choice-consumer...) is a famous view that shows you the situation.
It feels like you allude that I don't. Is there something specific you'd like to mention here, or am I supposed to guess?
It's just entitlement that you should be free to buy such products made with literal slave labor with no moral qualms. We should call it the Nestle argument, that caring about slave labor would be very inconvenient, so we shouldn't.
Instead, you should probably petition the FTC to not allow a company profiting from slave labor to buy up all it's competition.