Any Cybershots allow zooming while filming

As per title really, we used to own a P51 which allowed this - only 'upgraded' a few years later due to the film mode not having sound, unfortunately it seems most compacts nowadays don't allow zooming whilst in capture mode, our current Lumix certainly doesn't.
Think the reason for this may have been the motor noise coming through on the resultant film when played back.

Looking to go back to Sony and buy new if one of the current line allows this, if not might pick up a second hand P71, anyone able to help?

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Cheers,
Col.