You are absolutely right — it's definitely worth checking! The key is that each insurer — Progressive, State Farm, Allstate — calculates commuting risk differently, so rates can vary much more than you'd expect.
Your smartest move is still to check bundling. Bundling auto and renters insurance with a company like Liberty Mutual or Farmers can often significantly reduce your overall premium through substantial multi-policy discounts. Just get a few quotes, and you'll quickly see exactly where you can save the most money.