I generally like Inbox as well, feels faster than gmail. Though i've recently gone back to using a local client instead of the web. It's a bit of a change, but just feels simpler to use.
The Inbox webapp always worked incredibly slowly for me on Firefox but fast on Chrome. Now I only use the Android app (and only when I need to use the snooze or Trips features) for everything else I use Gmail webapp on Firefox
Search has been faster than it used to be. I've noticed this in Mail on iOS as well. I use airmail, which i don't think it downloads all emails locally.