This is a complex issue.
Firstly, we all spend our lives listening to music recorded in clinically perfect circumstances and then play gigs where the environment is less conducive. We rehearse in the same place week after week with the same gear and often 'in the round' and then, the first time we play anywhere, we have to deal with a new room, background noise, poor eye-lines, anxiety, self-talk etc etc. We have periods when we are hitting and othjers when we are not for any one of 1,000 reasons. How much individual practice do we do (I never do nearly enough). What I am saying is that often the cards are stacked against us. For Jazz musicians, add the fact that you are almost always making stuff up as you go along. It ain't going to be perfect every time.
Analysis of a recording is useful but it is more useful to analyse a [i]series of gigs[/i] rather than one. Understanding the direction of travel is as important as a sample of one gig. Use the intelligence gained to inform your devellopment but don't beat yourself up, it can become counter productive as your confidence goes and your playing suffers as a result. In truth, we are all able to improve and recognising that fact soes not mean that what we are doing has no value. Being 'tight' is not the only approach and an over rehearsed band can be a turn off as much as a sloppy one.