One red flag is anyone wanting to open a monogamous relationship that isn't more-or-less rock solid. Polyamory isn't something to try if you're uncertain about your current monogamous partner.
The ideal case is for someone to go into the dating pool as openly polyamorous. But this will take a couple more generations, I think. Most people don't have the opportunity, because the idea that we need to choose a single partner has been hammered into us from the moment we were born. So I'm sympathetic to people who want to put in the work of exploring whether polyamory is possible within the bounds of an existing relationship.
The most important thing is communication. There will be misunderstandings, but at no point should someone feel like something is being hidden from the other. That's different than respecting each person's individual relationships – one is underhanded, the other is a social contract.
This isn't directly related to your point, but https://www.unicorns-r-us.com/ was an interesting read.
My hypothesis is that most people are generally monogamous, but not to the same person indefinitely, and that transition is either marked by divorce/breakup if socially monogamous, or an odd transition period where they haven't really broken up with their last committed partner but have functionally done so if they're polyamorous.
I've certainly seen both ends of this specific spectrum work for those involved, but it seems about as general as anything else about human sexuality.
Polyamory isn't some sort of magic flag that makes things not infidelity, and most outwardly monogamous people who are in relationships with multiple people aren't closeted polyamorous people, they're just selfish/abusive partners.
Some animals have lifelong monogamy where they have one fixed breeding partner (many birds). Some animals have couples cooperate and raise offspring for a breeding season and then look for another partner in the next season, others mate for multiple seasons.
https://web.stanford.edu/group/stanfordbirds/text/essays/Mon...
Polyamory doesn’t spark disapproval so much as skepticism.