Yes, I found I am much happier in places that allow only limited internet connectivity. We worked in the Caribbean for years, and when we started there was only extremely slow internet available on one old computer in a tiny hot phone cubicle, shared by all the people on the island. Smartphones weren't that common, and they were useless anyway. There were no tvs either, only radios, and no radios in the actual rooms we stayed in. It was glorious.
Over the years, the hotel we stayed at upgraded to wi fi in the main lodge, so people would take their phones and laptops there to go online. But the hotel frowned on that, esp during the 'social hours', and the service was spotty anyway. Eventually, they removed wi fi access in the common rooms and most of the guest rooms got wi-fi (still slow and often 'down'). I found I checked internet A LOT more when I could do it anytime I was in my room. I didn't like it, but I still found myself checking it. I did not find the working stints there as much of an escape as in the early days.
This is absolutely one of the main reasons I do not want a smart phone. Life is a lot better without constant internet access. Some internet access is great. All the time? Not so much.