I’m no expert on fermenting vegetables, but most store bought products are not. Wild Brine is one exception, and states Probiotic on the label. https://wildbrine.com/products/
I bought fresh Grillo’s pickles at Costco thinking they looked fermented, but not. Taste good if you like dill pickles, but they use a fresh vinegar process.

Way back when in my long history here, there is a thread on fermenting. I was buying them from a small organic farm at the farmers market. Jean was way ahead of me and already fermenting her own vegetables
She had special fermenting jars.

I fermented the TJ "carrots of many colors" in regular mason jars. Looked pretty, tasted good, but I’m lazy. Didn’t keep up this project and now return to it years later.

https://forum.lowcarber.org/showthread.php?t=468472