I'm sure they burned through quite a few AMRAAM and Sidewinders doing intercepts as well. Patriot is much more expensive than $1M (try $4M), Stinger is around 250K depending on who the customer is ($750K if you're non-US). AMRAAM is over $1M, Sidewinders $500K.
Even APKWS is $40k, and Shaheed prices are around $30k? So even that low cost option is losing.