Some internet sleuthing tells me that doing so could result in cease-and-desists or potential litigation, however I'm not sure how ProductHunt & BitClout get away with this in that case?
Product Hunt lets you hunt products and submit whatever images/logos you'd like to.
BitClout seems to have created pages/accounts for companies with their logos on it without their consent: https://imgur.com/a/64IKVGU
What I'm trying to create is more like bitclout - I want to create pages for other companies that can be claimed
My very pedestrian understanding is that as long as you aren't abusing the logo (trying to use it to show an affiliation, sell it, etc) then you're unlikely to get into trouble. It also helps if you have a form or contact page to let orgs request their logo be removed.
As far as Product Hunt goes, most of these young orgs probably are happy to get the press.