Peer approval schemes are usually implemented as trade efficiency measures. A one sided peer approval would make it easier to import, while not making it easier to export, causing a delta trade deficit.
This isn't about trade efficiency though, it's about bypassing an inefficient bureaucracy by allowing for approval by a more efficient one as an option.
We have no intention of dropping our standards to US ones, but they are welcome to follow our lead. (Or don't! It's up to you, just don't make it our problem!)
Why is a trade deficit something to worry about? After all, my local grocery store buys nothing from me, but we both benefit from the exchange of goods and currency.
Furthermore, even if the trade deficit was something to worry about, why should the food and drug safety bureaucracies be the ones to determine that kind of economic policy?
Obviously any authority that takes its job seriously makes decisions based on facts and not blind trust.