It may be annoying, but be cautious about turning off all but one method of receiving communications. The platform can be really glitchy and one of those methods can suddenly stop working. I used to only have the SMS box checked, but one day it just stopped working. This resulted in me missing responding to a booking request within 24 hours, it was just lucky timing that I happened to look at my Airbnb messaging inbox, 25 hours after the request had been sent. The guest, who I explained to and apologized, did go on to book, but Airbnb still dinged me on my Response rate, even though it was their software glitch, not my inattention, that was the cause. It took a month and a half to start getting my SMS notifications back.
So it's really best to have at least a couple of notification methods checked in case one fails. Its not an uncommon scenario.