Are lane bullies healthy?

From what I understand, the job of a lane bully is to shut down their opponent so hard and so early that they cannot scale well the rest of the game. Champions like (who I main so I do bully a lot I suppose), and are what come to mind when I imagine a lane bully. But it seems a lot of people (or perhaps just G&B) hate fighting oppressive champions. I've heard a few times that even is toxic (personal opinion: He's not. Am I biased? Yes and if a Pantheon is constantly throwing spears at you then he's burning mana fast like a moron) because all his strategy is his heavy damage point and click Q ( works well against that) his W (which is a one second stun in a game where there are worse) his E active (which deals double damage to champions but you can avoid it easier than Q) the passive (Hey, has something similar that starts at 50%) and his passive.

Now the answer with Pantheon is "He falls off late game." but that's not what people seem to be asking for. They don't want a sucky laning phase, which from what I understand is the sign of a good lane bully.

So, are lane bullies healthy? If not then what should be done about them?