A non-polarized electrolytic is effectively two polarized electrolytics in series (oxide layers on both electrodes) so with theoretically perfect components it’s the same thing, but using one that’s built for that purpose is indeed more robust.
You can also swap out the TL082s for TL072s (or one TL074); the latter is a low-noise version of the 082 and is much more common these days, and as noted earlier they seem to have exactly the same specs these days (so may be the same silicon).