It seems the studies that have been done indicate pretty high dosages required for noticeable damage to occur and that even then it can be minimized with packaging changes and care:

https://staging.billmarler.com/blog/pros-and-cons-of-commerc...

At the 1.0 kGy level required to effect Cyclospora, little difference was noticed in lettuce packaged in MAP instead of air, but some browning in air.