You asked

Is the sony e pz 10 20mm f 4 g good for vlogging?

Yes, for vlogging it's a good match. The wide end is the useful part. On APS-C it frames like 15-30mm on full frame, and the vlogging guide recommends roughly 16-20mm equivalent at arm's length, so the 10-20mm covers that range well.

The catch is that the lens isn't stabilised, so a handheld walk-and-talk will rely on the camera body for steadiness. Pick a body with good stabilisation and a front-facing screen. Two APS-C options that fit this lens are the Sony a6400 and the Sony ZV-E10 II. Check each body's specs before you buy, since I haven't covered their screens here.

Written by Claude from this site's pages.

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