Earlier quoted context omitted.
I'd say that depends on what 'a conversion' is - if it's buying physical things (and getting shipping confirmations for them), an email is maybe not absolutely required, but most of your customers would probably still rather they got those?
Maybe they want SMS updates to their shipping, does that mean you should ask for confirmed phone numbers on signup? Of course not. Let them enter their email or phone number for shipping updates when they're confirming their purchase. Ideally you shouldn't require users to make an account to make a purchase at all. There should be a "guest" path for purchases. Some sites still get this right. I can buy anything from…
Southwest Airlines knows an awful lot more information about you than you provide them. They don't need your email address because they know who you are - and they make it your responsibility to monitor changes to your schedule/flight.
Dominos Pizza allows you to monitor in real time the status of your delivery on their website after checkout. You can provide an email address to access the tracking status page again if you close it.
Hacker News is not a good representation of anything outside of a very tech-focused forum. It's designed to be anonymous, there is nothing to keep track of (order status etc) and if you lose your password to HN, you might just be SOL. That's not going to fly for the general public.
Reddit is focused on eyeballs and clicks - nothing else. You're not buying things on Reddit and waiting for them to deliver to your house or whatever. Reddit just needs you to click and look at things to make money. Reddit also requires an email address, but if you don't provide a real one then you're SOL if you lose access. Again, not going to fly for the general public.
The reality is, most regular sites do need a reliable way to contact you for business reasons. Some are even required to have your contact information (for international shipments, as one example).
Your email inbox does a good job of holding emails for you, so let's stop pretending it's a huge burden to get an email... and if you find your way onto some newsletter list just click the unsubscribe button. It's not that hard...