Here's a guide. (keyboard list may not be up to date and/or complete)
To a point, it might depend on what you mean by responsiveness. If you're thinking people are just raving about them because ZOMG keys register a thousandth of a second faster and that matters for my gaming, then no, it's not that. If referring to the generally better feel, then sure. They're a more precise mechanism that take less effort to actuate. It's not the only reason to like them, but it's enough for most people (doubly so since you can look for a mechanical with the switch type you prefer, if not choose between options). Once you're acclimated to one, going back to a membrane keyboard actually feels like it takes effort.
Most of the other reasons to prefer one, I would say, are either fairly niche, or are the result of most mechanicals simply being higher end products as a result of being more expensive to build in the first place. It's easier to work in better made key caps when it's for a $120 product and not a $20 one, for example.