I've read that Squirrels like to eat bird eggs, including Hummingbird eggs. For the last several years, I've only been able to attract maybe 4-6 Hummingbirds to my feeders on a regular basis. We had a very high Squirrel population. However, in the last couple of years, we've had a couple of Redtail Hawks, an Owl, a family of Foxes and a Falcon of some kind who have been doing a pretty good job of decimating the Squirrel population. Is this likely to improve my Hummingbird population? Has anyone had any experience with this?