Many weapons would not make sense in the setting. rapiers for instance. in the setting of Tamriel where its commonplace to see people wearing suits of heavy metallic armor, weapons like rapiers and other light thrusting weapons would be useless. Rapiers were used mainly in the renaissance through Victorian era as a dueling weapon, after heavy armors because obsolete on the battlefield and in city life. weaponry like the rapier and similar European and Japanese weapons would not make sense in the elder scrolls setting. the exception being the katana which is a multi-purpose weapon, having a piercing tip, razor sharp slashing edge and enough flexibility to avoid shattering due to repeated weapon blows.
weapons id like to see make it into or stay in the game: Claymore, Falchion, Naganata, Shortspear, Scimitar, wakazashi, tanto, katana, Dai-Katana, Tetsubo, Spear, Cestus, Flail, Great flail, Great axe, hand axe, kukri, dagger, Gladius, Halbard, Quarterstaff, Weighted Chain, Kamagusariyama.
weapons id like to see make it into or stay in the game: Claymore, Falchion, Naganata, Shortspear, Scimitar, wakazashi, tanto, katana, Dai-Katana, Tetsubo, Spear, Cestus, Flail, Great flail, Great axe, hand axe, kukri, dagger, Gladius, Halbard, Quarterstaff, Weighted Chain, Kamagusariyama.
On the contrary, the availability of steel gave the rapier almost the same armor penetration capability as the cumbersome old broadswords, due to the higher tip speeds made possible by the lower weight and increased length (I've seen some over 54"). It could be as much a slashing weapon as a thrusting one, and there were both extremely light "fencing" types and reasonably rigid "diamond cross section" styles with some heft to them that could punch through plate armor. The extremely light and flexible designs eventually were spun off into their own class: "foils".
As far as I've read, the "piercing" capabilities of a katana were pretty much limited to unarmored opponents only. The blades were generally far too thin to handle being driven point-first into metal armor without buckling or shattering the cutting edge.