If you are truly being objective and listening to the band itself as a whole and not just one part or another there are some things that help.
The sound quality the audience hears is inversely proportional to the stage volume for a large number of reasons.
Any guitar leaking into the vocal mic will constantly be being phased and filtered by everything the singer does, even when not singing.
Any guitar leaking into the drum mics will be the same, but luckily usually a much lower part of those particular mics' signal.
Any bass guitar leaking into the guitar mic is going to have to be filtered out either from the bass guitar's FOH sound or the guitar's FOH sound, that issue is a textbook comb filter
Anyone who thinks they can stick a single mic in front of a cabinet with bass guitar leaking into it, cymbals leaking into it, the stand or mount vibrating all over the place, and variably being reflected into by people walking past (even the "null point of) the mic and beat a studio full of mics in a perfect room are fooling themselves. You might get something OK, but from what the audience hears, you are never going to beat an IR with that mic. I realize that that can be an impossible pill to swallow psychologically so I always have a mic on the cab as well for the performer's peace of mind and once in a blue moon it makes an acceptable sound and I'd rather have a happy performer playing well than a grumpy one that technically could sound better but plays crappy when upset.
As mentioned a few posts ago, you have to be sure the bedroom tone actually works in the mix. If you are running some modeller and playing with backing tracks at home and it sounds good, you might be fine. But if its just a giant amp in your room with no reference, it can be tricky to make it work in a show context.
Some of this is beyond your control as well. If the cymbals are beyond any sensible level for the room you are playing, there's nothing the soundman can do and the show is going to be garbage anyway.
For the OP, how was the video made? Was it somebody's phone? Was it a mic in a null point in a room? Go to your favorite club in an off hour and ask them to put up an 80 hz wave. Walk around the room and you will find several spots where you hear nothing, not a bit of 80 hz at all.
I always get a multitrack when I do shows as most modern consoles are also audio interfaces. The tracks don't sound anything like what the audience hears. Even with all the studio magic when I get it back to the studio for mixing, the fundamental problem of leakage can't always be dealt with, especially when there's a way too loud guitar leaking into the vocals.
I'm only pretty recent to live sound, as we are beginning to move some of our product focus to it, but I have a lot of help from very experienced soundmen, and for the past few years have been mixing mostly at small clubs to get first hand experience. But again, a lot of the above are my observations, but they are more confirmations of what the super pros tell me.
I've been putting up live recordings from a 200 person max (I think) club I mix at a lot, so its a lot more volume sensitive than a bigger place would be. There is a whole playlist but one that stands out, and not at all my type of music, but really impressed what something can sound like when the band is first and foremost concerned with what the audience hears as a whole:
Whole playlist here, but its a grab bag of traditional hawaiian, blues, hard rock, tributes...all sorts of weird stuff.
https://www.youtube.com/@slackkeylounge5373/playlists