Yes, except the China also 'infiltrate' Chinese companies themselves, and can perhaps order them to put in backdoors.
The NSA generally does not order US companies around, as evidenced by the fact it's been documented that they intercept shipments and compromise the systems on their own:
* https://arstechnica.com/tech-policy/2014/05/photos-of-an-nsa...
If the NSA had an 'in' into Cisco (or Juniper, or Aruba, etc), they wouldn't need to clandestinely have their own 'compromise factories'.
Yes, both the Chinese and NSA do cyber stuff, but so does every country. At the very least the odds of getting a 'clean' product from an American supplier compared to a Chinese one are higher: the links between Chinese companies and government are often murky.