The "right" pronunciation depends on what you take for reference. If you're treating the word as an English one, the woman is right - English doesn't allow this sort of initial cluster, and spelling-wise it's well-established that some initial consonants are mute (see e.g. "knife").
And, if treating the word as a Koine Greek one... odds are both are butchering the word so much that [pə] wouldn't save the day. Even the man is likely pronouncing it as [pə.'tɒl.ə.mi]; the Greek word would be more like [pto.le.'mɛ:.os], or [pto.le.'maɪ̯.os] with a really conservative pronunciation.
For my take on those news, check here. Including context. Here I'll solely talk about the comments in that cesspool of idiocy.
1: It's too early to know what'll happen. It might make things better, worse, or the same.
2: I agree that the sale of personal info should be outright banned; one's control over their own data should be seen as an inalienable right.
Note currently there's an ongoing law project seeking to assign property rights to individuals over their personal data. IMO a side-step - on one hand it means you'd have an easier time suing megacorpos for stealing your data, on another it means they can still press you to share it.
The article 19 of the Marco Civil da Internet - that the STF is getting rid of - does not talk about "social media", but rather "provedor de aplicações de internet" (lit. internet application provider). It's basically anyone providing internet services to a third party.
As such, "ackshyually wut teh definishun of sacial meria" is not a relevant concern.
I kind of low-key wish that that happened, those megacorpos are cancer. But it won't - no megacorpos would unnecessarily restrict its own market.
But let's roll with that. The impact of that would be hilariously small: a single month of disruption, then business as usual. For reference check what happened when ~~the dickhead~~ Alexandre de Moraes banned Twitter, almost everybody and their caramel-coloured dog migrated to Bluesky. Once a platform is gone so is the network effect associated with it.