That is exactly right; geochemical anomalies are everywhere. However, to be fair, exploration usually takes place over an anomaly, not over an area that is at background geochemically.
Regardless, the problem here is that the anomalies that LBSR has outlined neatly on those colorful maps are not explained in regards to how they are defined. In addition, given the number of samples that were collected at Hay Mountain, a nice round circle to define an "anomaly" is probably drawn for convenience and marketing purposes, rather than out of reality.
And what does that circle really define - everything outside the circle is below what threshold value, and everything inside is above what threshold? Geochem data is never that neat that it forms perfect circles.....
Another point - give the same data set to a dozen geologists, and you will get the "anomaly" boundaries drawn a dozen different ways. Someone with an agenda (shares to sell) will certainly draw those boundaries in a particular way.