it's got major downsides.
To the OP ...... welcome to reality. First off ...... if you truly belive that you got excellent sound with a $20 boombox pointed into a corner .......

.
I'm the rarity here at HR being a full time live player for 40 years and still gigging 6 nights a week. I do record and do session work butr my main income is gigging and always has been.
I can mix from the stage ..... so if you can ... do it that way.
I usually do.
Having said that ..... the fact is VERY few people can mix from the stage because they don't have the experience of translating what things sound like out front to what they sound like up on stage.
I have approximately 15,000 gigs under my belt ..... most of them also doing sound for the bands I'm in so I run out front ...... jump on stage ... make corrections .... run back out front ....... jumping up and down for a few songs.
Now I no longer have to go out front much since I KNOW what say, excessive treble in the vox sounds like bounced off the back.
But once again ..... 15,000 gigs of doing that.
Good luck with it but the way you describe things I'm gonna say that it's gonna be much harder than you think.
And while I'm at it ..... on your clips ....... I'd be more inclined to ask where are the drums on your rehearsal clip? Yes ...... the snare MAY be a little loud on the live clip but, as someone else pointed out, it could be just a loud snare not even going thru the PA. No way to tell.
But you need drums for live playing to propel the people ..... to get them moving.
Of the two clips I prefer the live one although neither is all that great.