How is this reminiscent? And can you point to any articles, comments on forums, anything that backs up this point of view?
One that comes to mind as particularly memorable is the asm.js Citadel demo (some info here: https://blog.mozilla.org/en/mozilla/mozilla-and-epic-preview...), although there was a similar one a year earlier about UE3 (https://blog.mozilla.org/en/products/firefox/mozilla-is-unlo...).
In 2015, Unity 5 was released with WebGL support. Engine support for having the Web as a target certainly led to a lot of excitement among gamers at the time too.