I think the main thing to remember is that if you use a bail jar it should be one that is designed for legit canning, not one for pretty kitchen storage. The ones above (and the ones I use) are the EU version of canning jars. They have a heavy seal that lasts for years. They are designed for heat canning like ball jars. In France some products as still sold in the grocery vacuum canned in these jars.
The seals last for years without drying up and its pretty clear when they are spent.
If its not made for canning its just for looks and probably trash. You can still buy the proper ones in the grocery in multi packs for those who can jams, meat, etc...
A good indication of quality is if its quaint, cute or clever looking. Avoid those.
My guess is you wont find proper bail jars in the US but I never looked for them since ball jars worked just fine.
Edit: I just took a look at amazon.com (usa). What they have listed under bail canning jars are trash and carry a large price. Same goes with kitchen canisters with bail closers, trash.