In the FAQs it says:
"Browser-based versions of Gmail users - the Gmail Gadget works in all major, modern browsers (Chrome, Safari, FireFox, IE8+). It does not work in mobile versions of Gmail (neither mobile browser optimized versions nor native versions)."
But if you monkey around with gmail your browser (not gmail app, and maybe the mobile browser must be Chrome?) you can choose the desktop version of gmail on your iPhone, iPad or Android device and the Google Gadget works great. I also find that the user experience within Method on a tablet (iPad or Android) is better when using the desktop version, not the mobile version.
FWIW, although I have only done limited testing to date, the one thing to note is that the text of email templates in iOS shows up as html. On Android, it displays as rich text. I haven't found a workaround for this yet, and it may make us choose Android over iOS devices in the future.
I would be happy to upload photos or a video somewhere, if that would be helpful to others.