Earlier quoted context omitted.
Depending on the stakes this is a pretty dangerous attitude. The goal for oncall is to keep the website working, and if you're tuning for "never get paged" then you'll necessarily miss an incident eventually.
If you make your goal as high availability as possible, and you only get paged on outages, then your goal should be to never get paged. You should be building resilient architectures, not being on firewatch duty.
Developers don't want to ever be paged because they don't want to be bothered, but the business might be perfectly happy to pay you to be on firewatch duty.
Consider a "low traffic" alert, how can you tell the difference between a slow period at 3am on a holiday vs a true outage? You can't without someone getting up and testing if the site is still up. (Maybe you can automate that check but there's always edge-cases you can't automate).
OP seemed to suggest it's better to disable the alarm than to just suffer the false alarm every now and then. I doubt very much that the people paying you for the on-call service would agree though.