Hard to impose a device limit on a kid if that kid watches you use your device constantly. I’m not some hero here - constantly reminding myself to be aware.
Now, I think imposing limits in the open world is a specific challenge. To your point, you’ll see kids at restaurants on iPads. Well, now your kid wants iPad. You don’t give it? They start a shitstorm.
I don’t think an outright device ban is so critical. But limits are important, and even more important is sticking to what you said you would do as a parent. With mine, they sense that moment of giving and almost instinctually rush to exploit. That said, flexibility is important too - knowing when you use it.
As for game, I set a rule on an iPad. No games with ads. Those seem to be the worst of them, and there are tons.