yungman, I respect your background but I am left wondering if you've actually ever measured the behaviour of 1N4X diodes, or just presumed it.
It just so happens that I have on my bench a switching circuit I am currently preparing and testing (to drive a 300V, variable 1-100kHz, 4kW square wave generator design I am working on). So, hey, let's not argue about this, let's measure it like good engineers!
So I set the switcher up to drive a 40V pk-pk square wave (50% cycle) across a 500 ohm load, ±20V, and rectified it, half-cycle with a single diode. I then 'scoped the voltage directly across the rectifying diode.
I picked a 1N4005 straight out of a new bag of components, and the same again for a UF5408.
Here is the behaviour of the 1N4005 with the switcher set to run at 55kHz:
So you can see that it is not only very 'slopey', but if you count off the divisions you'll see that the 'off' time is 10us, whereas the slopey 'on' time is 8us. So that is a us of missing rectification, as well as the slow time to fully 'on'.
If we push higher still, the effect becomes very obvious. Below is comparing the UF5408 to the 1N4005 directly. With the fast diode you can see the clear, square shape of the desired rectified pulse, and you can also see consequent ringing (these were loose on the bench, on the ends of leads, so you should expect to see this if the switching is quick enough).
Whereas the poor 1N4005 doesn't even reach 20V during its 'rectification' period!...
Now consider feeding a rectifier with a 1N4005 like that above, but this time with 800V. How much heating in that diode is going to suffer, all because the diode isn't switching cleanly and fast enough? If that diode is half open and dropping 400V 10% of the time, how quickly will the junction and wire bond inside the package take to overheat?
So, the traces above show that the 1N4005 is taking some 6μs to get to fully 'on', and especially if you're rectifying 800V with any sort of load on, then 6μs of 'partially on' time 50 thousand times a second is just waaay to slow to avoid thermal damage.
I trust I have presented the case clearly now. If you think I have done anything wrong in this measurement, then you should try measuring this for yourself as I am confident you will see the same results and [I suspect only] then will you be convinced.