They talk about their experience on an iPhone and assume it's true on all ecosystems.
It's not true for mine (Firefox and Android). When following a link from Gmail it opens embedded within the Gmail app and the site has access to the same cookies as if I'd opened it in the browser. And it's trivial and seamless to then open into full Firefox (position in page and form values are kept).
I think Chrome Android is more or less the same too.