If you’re using a water bath that is up in the 175ish range, then I don’t see why precision is all that important. Since you’re set a good deal higher than your target internal temperature, you still have to babysit it, and a precise water temperature isn’t important. At that point, the only advantage of a sous vide wand is circulation.
If you’re trying to do a true sous vide (where you set the water bath temperature to your target internal temperature), then precision is critical.