I prefer the labels that just say "bacon" and don't claim to be preservative-free. If there is not any demonstrated (or even hypothetical) benefit to nitrates/nitrites being added from different sources ("natural" or otherwise), it should be considered deceptive advertising to make it seem like there is a difference (or that your product has none).
Blame the US gov, they are the ones that decided using celery salt as your source of nitrates meant you "didn't add any nitrates". Maybe if our government was functional enough to not regularly shutdown from inaction, we would have an easier time improving and updating food labeling requirements.
This is not allowed under EU and UK rules. You can't just add natural nitrites (like celery juice extract) and call it nitrite-free.
Here's the ingredients list for a popular brand of nitrite-free bacon in the UK: https://finnebrogue.com/products/naked-smoked-streaky-bacon-...
They explicitly state that they do not add any nitrites in any form: "We do not use any nitrites, whether from traditional sodium nitrite or nitrites derived from vegetable extracts like celery juice."