Unrealistically loud (I say this because it's clipping; there's actually no reference for us to decide how relatively loud it is compared to anything else, so it's possible that you're listening to it louder than the real thing, or quieter than the real thing, etc) - that card also looks modified/hacked; there should not be a through-hole over the blower (it does not intake air from inside the case like the GTX Titan style coolers). In practice the 5800U isn't all that loud - any modern (since Radeon X) blower card will be substantially louder at full RPM, and the 5800U does not run it's fan all the time (most of the time the fan isn't even on, making it truly silent (and no, it doesn't run all that hot in passive or active mode - the heatsinks do a very good job)).
The little million-RPM screamers that used to be common on chipsets and cards like the GeForce 4 or WildcatVP are louder than the 5800's fan as well, and most never turn off.
Finally - this is recorded with the mic right on top of the card, which isn't realistic; you don't sit 2" away from the exhaust feed of your PC, do you? With the card in a case on the floor or inside a desk you will not hear the noise over even moderate level game audio (and with headphones, even open headphones, it may as well not exist).
Regarding other FX cards - I haven't owned/seen a 5950 with Flow FX II in person (nVidia reports it's supposed to be quieter though), but my 5900XT is almost silent at idle up and with light loads, but if it heats up it spins the fan faster and becomes more audible - it isn't a screamer though (it does, however, tend to run hotter than the 5800U). Neither is annoying or obtrusive unless you're setting them in a silent room and play very demanding games (which will keep them fully loaded and peak their temperatures) with no audio. Unfortunately I cannot say the same for many later blower-equipped cards.
EDIT
Went looking for, and found, a better quality video showing the fan: http://www.youtube.com/watch?v=qspdnAYiiug
The tone is right (and I would venture that it does have a relatively distinct sound), but again there's nothing to relatively give you an idea of amplitude (around 1:15 it also shuts off the fan - I have no idea what he's got going on to load/unload the card - the red LEDs are a reflection).
And of course, the obligatory nVidia response video (which never gets old 🤣):
http://www.youtube.com/watch?v=WOVjZqC1AE4
I will also add, because it may be an easier relative comparison for folks - most rack servers are substantially louder and whinier than the 5800 (and basically any other graphics card). You shouldn't assume that the 5800U is like having a server room in your office. 😊