That, and check the manufacturer / fab what their dimensional tolerances are. Most say on their website.
Normally, copper tolerances are quite excellent, but they're only in relation to themselves, i.e. on a given layer; layer alignment is modest (typically by drilled registration holes, or x-ray), and comparable to other registration tolerances (soldermask, drill, etc.). Silk and rout are the worst, silk sometimes being quite good (it can be printed the same way as soldermask, but is usually inkjet or screened) but usually swelling a bit (due to screening), while rout is good by itself (reliable CNC positioning) but subject to errors due to tool pressure and wear, sudden change in direction (often, corners get blown in or out, as the end mill grabs the material there), and deflection of the material itself if cutting thin webs (intricate outlines can be difficult to fabricate).
Basically, the copper image resolution is finer than you'll ever need, and the printing resolution (in terms of maximum lines/length) is pretty good, while the minimum trace/space is an adequate factor larger than that minimum resolution to ensure accurate etching and reliable connections (free from shorts/breaks).
The others suffer from reduced resolution, soldermask I think more for structural reasons than imaging (too thin of a web and it can just peel off the board itself), and silk like I said due to inkjet or screening resolution.
And, by special request / custom order -- you can get tighter tolerances, on holes, slots, board edge / rout, etc., but you will of course have to pay extra for the custom job. Mechanically speaking, they need to give such an order more attention, it doesn't fit into normal proto flow, they might have to order new drills, end mills, etc. to get the required size, or due to extra tool wear for narrow slots, and simply charge more for taking more time to run the machines slower / more carefully / multiple passes to achieve the desired tolerances. Not to mention testing dimensions afterward, if metrology is offered / required.
So, as far as assembly / placement goes -- copper to copper is what matters, which is very good. And, I mean, clearly it's good enough for 0201s and below to be practical, as is normal these days. As for if you need to know what this spec actually is, what kind of error you expect to see between fiducials (to each other) and (to) pads, see above, mfg spec, or if in doubt -- ask them.
Tim