From a technical level you should use something lossless in this situation, but it really quickly becomes impractical. Actually lossless 1080p60 is going to be something like 500mbps, so if you’re playing for an hour I hope you have a spare 2tb drive laying around. The artifacts in really high bitrate compressed video are so minimal that they basically don’t matter. Often codecs do noise removal first thing so whatever minor artifacts still exist will get smeared over by that anyway.
Also when you are testing make sure there’s some movement in the video. AV1 especially has modes for presentations and things that basically make a PowerPoint, so sizes might be unrealistic if you’re just recording your desktop. I don’t think that gets enabled in handbrake but it’s been a while since I looked.
They don’t show the labels because the brand didn’t pay. If you see a label with a brand on it they probably paid.
For a cooking show it’s probably not going to be worth the time and effort to get a contract in place for every ingredient, so you only see it occasionally.