Look, it's clear we are all not going to reach agreement on whether the new phones are significantly faster or just marginally faster than last year's models. Clearly it's going to depend heavily on how you each use an iPhone.
But those of us who are heaping praise on the performance improvements (me included) are not smoking crack. For us, it really is quite a huge difference, and one we have been hoping for for several years now. The added RAM just opens up a ton of breathing room for the OS to really shine across the board, and we feel it when we use the phone. I'm not in the habit of gushing over every iPhone release, but this one deserves it.
No, the added CPU speed and RAM does not result in everything happening 2x faster. But the gains in smoothness, responsiveness, and reliability are apparent across every function, and the ability to switch quickly between two or three or even four apps/pages at a time gives me confidence to use the phone for pretty much anything I would normally use a PC for. Now, if I want to research my next vacation, and need to have pages/apps open for multiple hotel options, flight options, and maps of the area, and switch back and forth while I do my research, I can pull that off on my phone. On last year's phones, this would not be possible.
Beyond that, this level of smoothness takes the iPhone a step further in making you forget you are using a computer. We haven't seen pixels on the display for several years. Now we don't even feel the computer inside stopping to think after we give it a command. It just responds, instantly. I may not finish things 2x faster on my 6s+, but it's much more enjoyable to use.