If—as you might argue—that you’ll miss out on “important updates,” then I encourage you to consider these two perspectives:
First, realize that your emails have been sitting in your inbox for hours. Why can’t they wait for one more hour while you work on your priorities?
Second, if you’re expecting urgent messages, it’s time to rethink your communication system. Email isn’t for emergencies. Emergencies should come through text or phone calls, not your inbox. Email can—and must—wait until you spend some time on your priorities.