They are a very good idea which is why the Mine Safety folks require them on regs and torch.
Also, gloves are your friend in all sorts of welding. Presume everything is hot. :laughing:
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I don't consider those torches and tips "dirty". You already did what I'd do to them. I shine the ones I sell (since every dog likes to mark its own tree) but brass patinas quickly so there's no point in doing a torch you're gonna use. They look quite decent, actually.
The trick to telling hard use on a torch is dents, dings and beat marks, not patina.
Also, Teflon tape is not for regulator nuts (just noticed the pic). Ensure the nipple surface is clean and smooth, post a pic if in doubt, and tighten securely to your cylinder then check for leaks. Replacement nipples are standard and your local welding supply normally stocks them for a few dollars if you need one.
I'm sure I will not need more then one and if the old Purox works too that's great. I will try to see if I can fix the regulator myself if not then we can talk.
Since the J100 is tipless, you could off that. A name-brand regulator (Smith, Victor, Harris, Purox, Oxweld, etc) is a fair swap.
I'd keep both the big Victor (you WANT that rosebud, they come in handy) and the Purox (for which you have two cutting attachments, and they are NICE to use). I have the same torches and since they are paid for it would be smart to use them for a while to see which you prefer for a given task.