For me its more what weapons I already have out due to lockstyle. Since they're out anyway (mostly Master Trial ones... since they CANT be stored for whatever reason). I'll use them rather than have another weapon take up space.
After that criteria, it's whatever weapon has the lowest delay or is in my inventory due to some useful reason.
Lockstyles---
Dagger: Hedron Dagger
Sword: Fermion Sword
GSword: Irradiance Blade
Spear: Mizukage Naginata
Scythe: Maven's Scythe (from Vana'Bout 2. Not on your list)
Useful---
Staff: Treat Staff II (kept out for backup Warp)
Katana: Debahocho +1 (kept out for Cooking). If I didn't cook I suppose i'd use Yagyu Shortblade+1
Because I need an option---
GKatana: Lotus Katana (lowest delay of the options)
Club: Kyuka Uchiwa +1 (lowest delay + multi hit during fire weather)
alternatively if you Alchemy, Caduceus. Or KClub if you're on a job w/ it.
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In the spirit of your question, if you dont bother with any of the MT weapons and so forth and simply want a list of weapons storable on one slip so you can Porter Packer?....
You'd do Slip 22. Just glancing from the bottom up:
-Lost Sickle (Scythe)
-Yagyu Shortblade (Katana)
-Mutsunokami (Great Katana)
-Makana (Sword)
-Esoteric Athame (Dagger)
-Magician's Rod (Club)
-Erudite's Staff (Staff)
-Aern's Spear (Polearm)
-Lament (Great Sword)
With plenty of other options for each(?) slot