I use the Slack webhooks as a feed of issues impacting my team, and less about notifying myself of issues. Kind of like an RSS feed. If it's critical, PagerDut

I use the Slack webhooks as a feed of issues impacting my team, and less about notifying myself of issues. Kind of like an RSS feed. If it's critical, PagerDuty pings my phone. It starts with the push notification, and escalates to a phone call shortly thereafter. If it's a low urgency alert, PagerDuty sends me an email. I'll get to it eventually. All of these trigger Slack webhooks, but those aren't for me to manage the incident or to be alerted. They are there only for visibility purposes.