Yes they did. and the mechas' respective manufacturer and histories practically taken from their real life fighter jets counter part too.
For example the F-22A Raptor
The real F-22 is a steath fighter made by Lockheed Martin in the anime the mecha is also a stealth mecha fighter made by Lockweed Mardin instead of real life Lockheed Martin.
In the anime the mecha has powerful sensors and avionics for early detection of enemies, viable stealth capability against current sensor systems, super high speed cruise capability for long-range strike capability, and superior combat uptime. Those are the indeed the real life F-22 Raptors' capabilities.
The F/A - 18 Hornet
Real life F/A - 18 Hornet is a Supercarrier based fighter jets made by McDonell Douglas in the anime it's McDaell Doglam. and In the anime it's also a Carrier based Mecha with capabilites similar to the F-15.
The F-14 Tomcat
Real life F-14 Tomcat is a supercarrier based Fighter with long range Phoenix AIM 54 Missiles made by Grumman. In the anime, the mecha is made by Grunnan and also has AIM-54 Phoenix long-range missile system as a first-strike capability and also a carrier based Mecha.
They did the same with the Russian Mig mechas too.