Is your band actually registered/indexed anywhere? I'm going to be honest, 99% of the time, people who find birds don't know about leg band registries anyway. The leg band isn't going to make a difference in most cases. If they bring a bird to a shelter, then maybe the shelter will check registries, but it's really hit or miss. I worked at a cat/dog shelter that also coordinated a foster program for birds and caged animals, and the foster coordinator didn't know about leg band registries until I told her.
You might be able to get your bird chipped, which would be way more reliable than a leg band in terms of bringing him home to you... if your bird is too small for a chip, and you want to hold on to that tiny boost in chances that you'll get your bird back, I understand, but honestly I feel like subscribing to local FB groups (my area has a lot of "What's happening in (city)" groups for the nearby cities) and reporting your bird missing, as well as reporting him to all of the nearby shelters and animal welfare groups, is going to get you way further than a leg band. I'm a leg band skeptic lol.