Well, through-hole 0 ohm resistors are simply jumper wires with a plastic (or ceramic) coating in the middle.
They are available in reel form, and can be prepared (bent and cut) and eventually inserted in the PCB with the same tools that are used for standard resistors.
They were available also as simple pieces of wire, without the "resistor like" body, taped in reels.
Many years ago I've seen a machine that, starting from a spool of solid wire, was capable of straightening it ,cutting it to length and bending it to U-shape, ready for insertion.
I believe that these machines are still used for large productions, especially for single sided boards, but a simple piece of wire has some disadvantages:
- it is difficult to handle (by hand): the "resistor body" type is larger, and is easier to pick-up and insert by hand
- it is too lightweight, so it moves up during board manipulation and wave-soldering process (see photos in a previous post: the jumper wires don't look very professional...
- for double-sided boards, it can short to top-side copper traces if the solder-resist is damaged.
This is the reason that, for low production runs, they use the "resistor-like" type (the one with the single black band). For large production runs, I have no recent experience: nobody makes large production anymore, here in Italy....
Regarding "wattage", obviously it has no meaning: it is a simple way to indicate size (yes, they have quarter an half watt types).
Why are they used? There are multiple reasons:
- on single sided boards, as jumpers to replace a track that should be on component side.
Sometimes even in dual-side boards some reasons (difficult routing of tracks, track size, "straighter" way for signal, etc) suggest to use a jumper.
- on both single and dual sided boards I've used (and seen other designers use) jumpers (made with wire or with "zero ohm") to leave the possibility of an afterthought, or to allow for different versions of the same boards, or whatever.
I've not a great experience with the SMD version, but I believe they are used for the same reasons.
Last point: ohm must be written with lower case letters. Upper case must be used for the unit's symbol (in this case a Greek omega, that I cannot write here).
The same for volt, ampere, watt, meter, farad, henry, etc...