I've never seen official (as in string manufacturers) sources stating that short-scale strings are, generally speaking, qualitatively different or wound at a different tension than long-scale ones. That I have never seen any means little, of course [...]
AFAIK some makers just wind them to the correct length but with core and wrap diameters and materials identical to the LS counterparts. The string is then shorter and, when in use, tuned standard at a shorter scale
ergo looser, but otherwise identical to its LS sister. Some brands use different gauges in SS sets than in the LS, their chosen gauge recipe for what they judge to be the best tone at 30" scale.
Occasionally string designers may tweak the core-to-wrap ratio to get some more tension at short scale without a gauge increase. The old
D'Addario tension chart pdf shows the strings from the short-scale nickel-plated steel roundwound .050–.105 set to be more massive than the corresponding long, medium and superlong scale versions: vd. pages 10-11 (9-10 of .pdf file); cf. ("Unit Weight", i.e. mass x linear inch, column) items XB050S, XB070S, XB085S and XB105S vs. XLB050 etc., XB050M etc. and XB050SL etc.
Judging from tension figures given for the current set (EXL160S) at its [This invalid link has been removed], I don't think they bother making them like that anymore.