THIS is why you publish to the lowest common denominator (if you've ever worked in both web code and web media).
The lowest common denominator for web browsers is the sRGB working colour space and so obviously all images will be displayed by web browsers in sRGB.
But for images that were created in a larger colour space (Adobe RGB for example) for other reasons than only online display in browsers then whether the image creator converts the image to sRGB prior to uploading to the Internet or uploads the Adobe RGB image and lets the image viewer's browser convert the image to sRGB is a personal choice.
I'm sorry, but no. You never upload an AdobeRGB file under *any* belief that the browser will "convert". Not EVER. Because the vast majority of browsers the world over do NOT convert, let alone are color profile-friendly.
This is the difference between people who actually work in/with web designs and speak from the sidelines. Not a single web designer will ever, ever, post an extended gamut image and expect a web browser to "convert". It simply doesn't happen. Assuming a conversion is a sure-fire way to almost
guarantee that every person viewing your site will receive a different experience - the exact opposite of proper web design.