I’m not sure if there is just some “point of diminishing returns” or whatever where JPG actually becomes more efficient or what.
There is, but it’s at high quality levels. If you’re using WebP for thumbnails or other lower quality situations (Which was the original intended use) then WebP will give you better quality than JPEG for a given filesize.
For lossless uses it’s even better, the format is much more limited than PNG, but in the common cases it beats it.
“Fans claim it may offer an improvement” isn’t exactly a definitive statement.
From what I understand the research does actually show little to no improvement for either mode, which is actually a bit odd because we know the eye performs better the brighter the surroundings (Since it causes the pupil to contract, increasing the depth of field)
Maybe it’s a sign that we just need more research into the effectiveness in interfaces.