To be clear, I'm very much in favor of hand washing and have been using hand sanitizer whenever I come home since we'll before the pandemic. It helps with other infectious diseases, but I wonder about COVID
Washing your hands properly with soap and water is much more effective than hand sanitiser in typical use. Hand sanitiser is most useful when you don't have convenient access to soap and hot water. Since you're arriving home anyway, you might as well wash your hands properly — the skin on your hands will thank you for one less exposure to hand sanitiser, too.
That statement could only be true if you are comparing perfect-use hand sanitiser to typical-use hand washing, which isn't reasonable. If someone can't wash their hands properly, why assume they can use hand sanitiser perfectly?
That's different from telling everyone to open their windows whenever possible. This is like cloth masking in that it's probably only going to help a little but it's easily at hand.