A bit more on the practical applications of ISO-invariance.
In these debates, it's quite common for some to argue that with an ISO-invariant sensor, exposure settings don't matter - just shoot at base ISO with whatever shutter speed and aperture you want for creative purposes and adjust brightness in post-processing - based on the fact that photon capture will be the same whether whether ISO is adjusted or not. That may be true in very rare instances where base ISO also happens to be right for normal exposure setting purposes, and there's certainly more leeway, but given that best exposure always depends on maximum possible photon capture regardless, the only way of optimising that is to adjust exposure settings in the normal way so you know where you are. With that done, an ISO-invariant sensor may allow you to make further beneficial adjustments.
ISO-invariance changes the popular method of optimising digital exposure known at ETTR - Expose To The Right (of the histogram). This basically means over-exposing to put more detail (photons) into the shadows, then darkening the image back down again in post-processing but with shadow detail retained. It works well but there is a downside because over-exposure will blow highlights so a careful judgement must be made to make sure only unimportant highlights are effected - basically, it's a compromise.
With ISO-invariance, that technique can be changed to ETTL (Expose To The Left) which ensures that all highlights are retained and shadows can be lifted in post with little or no penalty. In some situations with very high dynamic range where you might otherwise need multi-exposure HDR technique, it can make a big difference, eg most back-lit situations where you want detail in the very bright background but also good detail on the shaded foreground. Unlike HDR, ISO-invariance also works with moving subjects as everything is captured in a single shot and since it often means you can use a faster shutter speed, that's another bonus.
A practical downside of ETTL and deliberate under-exposure is that the LCD image goes dark, sometimes very dark to the point of useless, and the histogram will also reflect that.
Exploiting the full potential of ISO-invariance only works when shooting Raw. It's not much use with JPEGs where tonal values are pretty much locked with very little scope for adjustment in post.