https://veteransbreakfastclub.org/scuds-vs-patriots-desert-s...
https://en.wikipedia.org/wiki/2018_Riyadh_missile_strike
"However, according to Jeffrey Lewis, director of the East Asia Nonproliferation Program at CNS, the Saudis failed to intercept the missiles following a malfunction of the MIM-104 Patriot system.[3] One video appeared to show a Patriot missile launch on Sunday night go rapidly wrong, with the missile changing course midair, crashing into a neighborhood in Riyadh and exploding. Another appeared to detonate shortly after being launched in the Saudi capital. " Pretty much the same failure mode as 30 years ago I would say, so maybe those ancient documents are still relevant today.
That's 10% of all patriots manufactured in 1 year.
The Russians also arrested the scientists who helped develop the Kinzhal and charged them with treason due to the apparent failure during this attack.[3] Not something you usually do if your weapon system is successful.
[1] https://apnews.com/article/russia-ukraine-war-patriot-kinzha... [2]https://www.bloomberg.com/news/articles/2023-05-06/ukraine-s... [3] https://www.nbcnews.com/news/world/russia-hypersonic-missile...
The US has a variable capacity for Patriot missile manufacturing but its baseline far exceeds the 300 missiles per year that you quoted.
Syrian civil war (2014–)
{...}
In July 2016, two Israeli Patriot missiles missed an incoming drone launched from Syria, according to Russian media. Israeli Air Defence Command fired two Patriot missiles, but they did not manage to destroy the target. Russia Today stated that the drone penetrated four kilometers into Israeli airspace, and then flew back into Syria. In June 2018, a single Israeli Patriot missile was fired toward a drone which was approaching Israel from Syria. The missile missed its target, and the drone turned back to Syria.
Service with Saudi Arabia
In March 2018, another missile, apparently fired from Yemen, was intercepted by a Patriot missile over Riyadh. Missile experts via news agencies cast doubt on the effectiveness of the Saudi Arabian Patriot defense. According to videos, one interceptor exploded just after launch and another did a "U turn" midair toward Riyadh.
In September 2019, the six battalions of Patriot missile defense systems owned by Saudi Arabia failed to protect its oil facilities from attacks by multiple drones and suspected cruise missiles during the Abqaiq–Khurais attack.