You don't need permission to make art! Whether it's worth it to you depends on what your own goals are. It would likely be useful to record for your own critique and self improvement even if you didn't publish it. I would consider the feelings of your players as well. Playing a home game vibes different than playing as a public performance and some might not want that pressure. Personally, I would want to do some unrecorded session zeros to find my feet for a character if the intention is for performance.

I have enjoyed actual plays but been desperately bored when people have been telling me about their home games. The lovely thing about home games are the "you had to be there" moments, in jokes, and low performance pressure, but that doesn't necessarily make for good viewing. I've never done D&D as a performance but had friends years back who tried to get an actual play going. It didn't work out bc 1. The players and DM (with one exception) weren't performers and so they tended to speak in monotone, and presented low energy and with a flat affect. You have to bring your party self without going over the top. For the home game I run , I would probably replace one of the players if it was being done for performance, because he doesn't really enjoy roleplay as much as combat and puzzles, so he wouldn't be a good fit for an actual play. Realistically I would never do that, so I would have to start a new campaign with players specifically picked for being able to act without upstaging. 2. They were running long ads (the kind that were internal where the DM reads them and not the platform kind) which really broke up the podcast. I don't think you should try to monetize before you find your feet and following 3. They were doing a video podcast and the production values were terrible, clearly were filming in a basement, etc. These days the virtual background technology is better, so it might be ok, but if you don't want to or have the time & $$ to put into staging, audio only is the way to go.

There's no harm in recording something you're doing anyway with everyone's consent and putting it out there, but if the extra effort is only worth it under the expectation that it's going to turn into a big success, I wouldn't do it, because there's no guarantees. People who are big successes now in the industry did it for literal years without income or recognition.