Actually tough for me to answer.
On one hand, my immediate response is YES. PLEASE. The internet is as cursed as it is blessed, if not moreso the former than the latter. It would cease the informational deluge and free a lot of weaker minds from the peanut gallery that is MSM. People would be forced to get hobbies and go out again. I've lost a lot of friends over time because they hole up and only talk through VOIP and instant messaging services, never wanting to engage with the real world. The tools for information like Wikipedia are so deeply undermined and rife with disinformation and outright lies that it's virtually useless. The fact that the powers that be can retcon any bit of human knowledge or history is extremely dangerous, and there are only a small handful of websites we turn to when we want to determine the truth. I don't know anyone who has a set of encyclopedias anymore. The nuanced lessons and epiphanies gained from reading actual novels is a chasm of difference from the little to be gained from TV, movies, and video games, much less by reading articles all day. You can name anything the internet provides and the organic alternative is going to be the healthier, safer, and most realistic option.
The internet is also the foundation of pretty much everything we use now, though, and the entirety of civilization would quite literally fall flat on its face if it just stopped working one day.
That's where I'm left with saying no. By shutting off the internet, every single monetary transaction across the world ceases to have meaning. You can no longer access your personal funds nor even pull up the numbers that represent your worth. Your connectivity to just about everyone will be diminished if not totally gone because even phonecalls are largely handled by WiFi if and when it's available. The phone networks would probably go down next if not with the internet because of the sudden inundation of use. Planes and how we manage that would be set back 80 some-odd years in an instant. Entire megacorps would falter overnight and operations would cease. Millions of people who rely on the internet for their jobs would suddenly have nothing to do. It's unfathomable how visceral the grinding halt would be if the internet just disappeared like that.
The internet is a double-edged sword. Not only is the internet the only tool capable of mass dissemination of information, it is also the only tool available to us to seek and find the truth. Without the internet we would have no choice but to believe what we are told and follow orders. Look at North Korea, for instance.