The subject is a bit off-topic for this thread, but here’s my take on this issue.
I don’t know about you but I can clearly see the difference between the sRGB and Adobe RGB version she posted on that website, and it’s precisely the kind of difference I’m used to seeing when softproofing my photos for sRGB in Lightroom, Capture One, RawTherapee or darktable. I’m viewing it in a properly set up Firefox browser, and my wide gamut monitor is calibrated/profiled to its native gamut. The difference is visible in all the blue items of clothing – the Adobe RGB version is nicely rich, whereas the sRGB version is is just ordinary. Other items in the photo seem confined by the sRGB space just fine.
When she writes, “When uploading a picture to the internet, it automatically converts to sRGB,” it’s really not true and shows some basic misunderstanding of how colour management works.
The difference between sRGB and Adobe RGB is really obvious to me not only on a wide gamut monitor, but also when printing on any basic inkjet printer. Yes, even the 4-ink Canon and Epson printers are capable of showing the difference between these two colour spaces, and I’m not talking in theory, but I’ve printed out a lot of photos to be able to appreciate the advantage of using a large colour space for printing. Is the difference huge? Well, yes and no – if you don’t compare the sRGB print-out to an Adobe RGB or a ProPhoto RGB print-out, then the sRGB one looks just fine. It’s only when you have the comparison in front of you that you can tell the difference. Same with monitors.
When it comes to the the working colour space it’s a bit more complicated because nowadays we don’t have displays which exceed Adobe RGB in a meaningful way. Still, if you use a very good inkjet printer the ProPhoto RGB and the Adobe RGB prints will look different. I know because I’ve seen it.
Now, posting a ProPhoto RGB image for a comparison is pointless because you won’t see the difference on a monitor, even a wide gamut one, but only in print.
Is the Adobe RGB working colour space of PhotoLab a deal-breaker to me? No, because I can work around it using the DNG output option for the really important images that I’m going to print in a very good lab. Would I like DxO to embrace a larger working colour space? Yes, because competition (Lr, C1) does that for a reason.