So call it either one and people will know what you're talking about.
And for actual ducts you'll want to use foil-tape because temperature changes wreck the adhesion of duct-tape, then the moisture leaks into the walls/ceiling which is $$$$ bad.
This strongly depends on the type of duct. Flex ducts that are a plastic skin over a wire coil don't work so well with aluminum tape.
Duck tape is the stuff developed for the US army to waterproof things closed. Post-war, they made it silver instead of green and marketed it for use with ducts (since being waterproof made it also SEEM like a good candidate for the job in heating systems), but its pretty terrible for this purpose since temperature changes degrade the adhesive rapidly.
The tape you actually want to use for ducts is foil-backed tape.
In short, it was and still is a great marketing gimmick, but Duck Tape was only ever “ok” at keeping things water proof and only looks like gaffers tape or the tape you want to use on ducts.
I use alot of Duck Tape .
From the little language study I've done, English is one of the most flexible. You can discard entire parts of speak and it still works.
Saying , ,'ey you woke up yet', is ok in many contexts.