Safari chooses not to show intermediate results, but they are available with Chrome and Firefox.
The impact of progression on user experience is a complex question. It is for minimizing user experienced latency vs. (over)activating preattentive processing by images changing on the screen. Last year, Moritz Firsching (also the author of the blog post in question) made several improvements to the progression of traditional JPEG (libjpeg-turbo, Chrome, Firefox). Those changes -- in my opinion -- dramatically reduce the flicker and poor renderings that could occur from traditional JPEG progression, making progressive JPEGs more attractive overall.
Such as time spent networking?
With baseline jpeg, you can blit the decoded blocks to screen directly and forget about it.
For progressive, you have to buffer the whole image (in DCT format!) and do the idct / color-space conversion on all passes.
By default JPEG XL's progressive uses only two scans, 8x8 DC, and the transforms in the second pass using a 256x256 tiles in encode-time chosen priority order. This choise allows JPEG XL to do only one round of DCTs even in the progressive case. The 8x8 DC is interpolated using cheaper methods.
Because of the design choices, every JPEG XL image is guaranteed to be at least minimally progressive in the same manner, i.e., 8x8 DC first. Having a guarantee will make it more rewarding for system designers to focus on extracting some user-experience benefit from that feature.
Imagine a file format that says "Byte-ranges 0-n will give you the image for a resolution of 640x480*. Bytes n+1 to m will give you the rest of the pixels for a resolution of 1440x1080, bytes m+1 to the end will give you the pixels you need to add to the 1080p version to get a 2160p version".
So the browser would decide what it needs and just requests the file up to that byte...
* The low-res 640x480 version might be all the browser needs if the person who designed the web page just wants the image e.g. as a small headline image in a news site column that is 640px wide