saw this earlier and wanted to chime in since i spent way too much time obsessing over this same thing last year. i started with a heavy lens and quickly realized that for vlogging, weight actually matters more than people admit... especially if youre walking around or have the camera on a small tripod. i ended up grabbing the Samyang AF 12mm f/2.0 Sony E and it was a game changer for my sit-downs. the thing is, when you turn on active stabilization on the zv-e10, the camera crops the image quite a bit. a 16mm lens ends up looking more like a 28mm or 30mm, which is kinda tight for arm-length filming. the 12mm gives you that extra breathing room so youre not just a giant floating head in the frame. its super light, fits right in your budget, and the autofocus is snappy enough for talking head stuff. plus its way more balanced on that tiny camera body compared to the sigma.

The Sigma 16mm f/1.4 DC DN Contemporary for Sony E is basically the best option for your sit-down videos. It provides a 24mm equivalent field of view, which is ideal for vlogging. The f/1.4 aperture is key for that background blur you want. It is heavy at 405g, but for tripod use it wont matter much. If you need something lighter, the Viltrox 23mm f/1.4 AF for Sony E is a decent alternative tho its a bit tighter.