Play your video and then immediately play the video of Rutger Gunnarsson playing along to Dancing Queen by Abba. Afterwards, take a sip of your favourite tipple and congratulate yourself on playing your song tighter than he played his. He seemed to do ok, so just do what you do and put yourself out there. Alternatively, listen to one of the many isolated bass tracks available. Generally, they are pretty sloppy, in comparison to the final track.
Honestly, don't worry what other people think of your playing. Just play like you play. It'll all tighten up when you're playing with real people, in real time.