This tool checks the primers themselves (Tm, GC, dimers).
Whether they also bind other genes (specificity) requires a comparison against the whole genome, done in NCBI Primer-BLAST. The "Check with Primer-BLAST" button opens NCBI in a new window with the primers filled in — sequences are sent to NCBI
only then, and this site sends nothing. See the
Primer-BLAST how-to guide for an illustrated walkthrough.