Just adding on to what I said before, (but feel free to resuggest after a mod responds)

For unusual weapons, for reference to what they should be suggested under, simply hover over the specific weapon and click stats (and then remove any modifiers in the link).

In this case, clicking stats on here: https://backpack.tf/item/10852199085 gives you

https://backpack.tf/stats/Strange/Festivized%20Specialized%20Killstreak%20Kiln%20and%20Conquer%20%7C%20Rocket%20Launcher%20(Battle%20Scarred)/Tradable/Craftable/702

remove the festivizer, killstreak modifiers in front:

https://backpack.tf/stats/Strange/Kiln%20and%20Conquer%20%7C%20Rocket%20Launcher%20(Battle%20Scarred)/Tradable/Craftable/702

and suggest there.

(generally speaking, any new unu weapons after initial release are in DECORATED WEAPON quality rather than unusual. strange unusual weapons are classified as strange most of the time it seems)

basically go with how it appears on the history page