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Swordsmen would do slightly better against gunners but much worse for their actual purpose which is to beat other melee infantry units.
However, my army trends more Halberd heavy in my own late games. Greatswords aren't that good compared to lots of other infantry. It's better to have Halberds hold the line and charge from the flanks with cavalry.
GS are mucher better than SM but you can still use both its best to tie up units with SM and flank with GS cav and archers will rek them they need to get in to melee fast.
This is the same reason high tier cav rek low tier anti cav they are just better units and thats why they cost a hell of a lot more and need loads buildings to create and have higher upkeep.
On Capmpaign - not anymore
If you look at bonuses from Honest Steel, MA, MD, damage, armor, HP you will see that:
Swordsmen needs to attack GS 10 times to kill (there is RNG extreme that makes them need 9 or 11)
Now GS needs to hit between 4 and 6 times, and the RNG doesnt need to be extremely lucku/unlucky to make such big differences.
Also, since Fatigue lowers MA, and swordsmen have higher MD - early fatigue works their favour.
Exhaustion which lowers armor works even more against GS.
Now if you look at Halbardiers:
38+8 = 46 MD - Honest steel works for them
25+8 = 33 MA
54 HP and same armor as Swordsman
Halbardiers need to attack GS 6 times (hit 3 times) and RNG extreme can force to attack 7th time
GS needs to attack Halbardier ALSO 6 times to kill him.
Conclusion - you take GS only to tank ranged fire as armor and HP > Shields, but in melee Halbardiers are better than both GS and Swordsman.
GS is only unit that can be beaten by lower tier units of same race. Try and put any infantry vs Har-Ganeth, Swordsmasters of Hoeth, Black Orcs, Hammers...
Only comparable crap unit to GS are Bestigors with their poor 20 MD
Swordsmen have 69 hp, Halberds 73 and Greatswords 76
Between emperors finest and strength of hardship swordsmen gain +13 MD and +8 MA, plus some peripherals that won't really matter in most cases(more LD and magic resist)
With honest steel and taste for battle greatswords get +12 armor and +12% damage stacked on +5 MD, +5 MA and 15% physical resist.
Halberds combine emperors finest and taste for battle for +13 MA, +13 MD, +15% Physical resist.
tech gives +10% WS and +10 armor to the halberds/swords, and +10% WS and +5 armor to greatswords.
Halberds might hold better vs top of the line AP infantry, but will suffer a lot vs non-AP stuff, even with upgrades, and cant hold vs shooting. Then of course is the bonus vs infantry, which takes maxed greatswords to 52 MA vs infantry as opposed to the 45 on halberds. Greatswords also hit a lot harder vs infantry because of their bonuses, hitting with 34 AP WS and ~14 non-AP as opposed to the halberds ~22 and 9. Halberds do have expert charge defense and can get a crazy 69 MD, but given their other limitations, I'm not at all sure they're the better line unit than greatswords.