I have both and my experience suggests otherwise. On both counts.
My experience is in line with yours. I have three laptops, an Ipad-2 and a Samsung Galaxy 10.1. The laptops are much faster, hands down. The screens on the tablets are also smaller, even accounting for usable space. I don't usually clutter up my laptop screen but even if you do, you can switch to full-screen mode for pictures and video.
For formal presentations, I use the laptop and projector. It is a faster machine, more versatile, and a lot more powerful.
The tablet does have some advantages, and is why I have them. They are very compact and are streamlined for certain tasks. They are easy to pass around and the touch screen is much easier for some tasks than a mouse (but it can also be a hindrance for other tasks).
If you want to make a quick presentation to a customer on a countertop, couch, small table, or similar informal setting, I think the tablet is pretty handy. It is quick to start up and quick to scan through pictures and video. It is also good for those who like the Palm-type convenience for scheduling, notes, etc. Also handy for quick picture and video snaps.
That said, it is no substitute for the power, speed, and flexibility of a laptop. They are simply designed for different tasks. If you have no need for a portable computer, get the tablet as it is a handy tool. If you need a portable computer, the tablet ain't it. If you can afford both, I would recommend getting a tablet.
FWIW, I like the Galaxy 10.1 better than the Ipad-2. I bought the Ipad-2 first, but I hate the limitations. If I had it to do over, I would buy the Galaxy, but it was not an option at the time. I don't think the droid tablets were much competition for the Ipad at first. If I bought another tablet, it would be a droid.