A lot of the weapons systems Israel sells are R&Ded and developed wholly by Israel, so they don't need the secondary approval from the US or France (though French MICs don't really care about approvals outside of IP transfers).
Israeli dependancy on American R&D has been waning since the 2000s and at least in the cybersecurity space has flipped the other way around where American companies are now dependant on Israeli technologies and innovations.
This decoupling from American Military R&D has happened in South Korea, Japan, Saudi, and Turkiye as well for over 20 years now due to tensions with North Korea (JP and SK) and Iran+Syria (IL, KSA, and TK).
The last major piece of Israeli military hardware that requires an export license from the US is THAAD and the Patriot missle system.
Israel largely decoupled from the US from a foreign policy and military hardware perspective by the middle of the Obama administration due to the Iran Nuclear program.
While what you are describing was kind of true in the 80s and 90s, that era is long gone.