To me, it is not the right advice. "Stop using that tool, that tool will make you lazy" means we would be digging holes by hand instead of using shovels, then excavators.
The "lazy answer box" is a tool, learn to use the tool, understand its limitations, as act accordingly. If you prefer not to use it because you like coming up with answers yourself, because it is against your principles, or because you can do better without it, that's fine. Hand tools still have a place in the workshop after all, and craftsmen know to use them. But if AI is helpful to you and lets you spare some cognitive load for other tasks, by all means use it, it would be stupid not to.
The "lazy answer box" is a tool, learn to use the tool, understand its limitations, as act accordingly. If you prefer not to use it because you like coming up with answers yourself, because it is against your principles, or because you can do better without it, that's fine. Hand tools still have a place in the workshop after all, and craftsmen know to use them. But if AI is helpful to you and lets you spare some cognitive load for other tasks, by all means use it, it would be stupid not to.