I'm not nostalgic. I went in university in 1999. There were no slide rules anywhere to see, I can assure you of that. But there was a lot of students quickly typing numbers on their calculator without taking a second to think if the order of magnitude even made sense.
Thing is, I doubt that a single type of calculator can be assumed as "the right one". As AC posted just before you, graphical calculator enables the resolution of complex calculus problems and can be a very powerful tool. It doesn't answer the question if it is really needed or the best for the learning process.
But back to your point, I wasn't thinking about your generation in general, but rather about engineers (and maybe physician) of your generation. Whether you consider the whole ensemble or just this particular subset, makes a huge difference. And I can assure your that engineers of your generation have a much better intuition with order of magnitudes. Sure, experience also plays a role (they are older after all), but I doubt this is the whole story. They work and think numerical problem through in a totally different way than anyone I studied with. They may also take more time to solve problems, but they mostly always get them right the first time. This is based on my professional experience and observation of a particular group of people.