HA 2.1 Evo TL-ready is listed at 475g vs 545g for the same 2.25 version. I usually run 30-32psi front and +3psi in the rear.
Try this: instead of thinking about widths, think about volumes. The 2.25" is much higher volume, and that means you can run a lower tire pressure and get the same support. The lower pressure gives you a bigger contact patch and better surface conformance, and that gives you better traction and lower rolling resistance.
This only works if you actually run lower pressures, and 32psi is not low pressure, even at 230lbs. Try lowering your tire pressure. I'd start at 24psi and go from there. If you're running tubes, convert to tubeless and see if you can get pressures down to 20psi in front. Once you're using the 2.25 to its full potential, you can then consider whether the weight savings of a 2.1 is worth going back to 30+ psi.
Many people will tell you that once you've gotten your pressures down low, you'll never want to go low-volume/medium-pressure again. If I had permission to spend your retirement funds, I'd get you wide rims and put a lightweight 2.4 on the front like the Schwalbe Rocket Ron.