Call signs

When I used to fly Cessna 152's and 172's, I'd always just say "Cessna
12345...". Now that I fly Piper Warriors, I began using "Piper
12345...", but then I realized no one else says just "Piper", they say
"Seneca 12345", or "Twin Comanche 12345...", so I began using the
callsign "Warrior 12345..." to fit in with the rest. This makes more
sense, considering the point of putting your aircraft type before your
tail number is to specify what you are. If you just say "Cessna", you
don't know if its a Citation X, or a 140, just that it's a Cessna. And
you'd think with all the 172s in existance I'd come across a single
instance of a pilot using "Skyhawk" in their call sign, but I've yet to
witness one.

Anyways, so I begin using "Warior" instead of Piper. When I got my
instrument rating and started doing IFR stuff, I noticed no matter what
I use, ATC always addresses me as "Cherokee 12345". Once I even tried
to get an IFR clearance that went something like this:

Me: Clearance, Warroir 4458U on the ground at LUK, IFR to HZY

[45 seconds of silence]...

Me [slower]: Clearance, Warroir 4458U on the grund at LUK, IFR to HZY

Controller: Aircraft calling, say call sign again

Me: 4...4...5...8...U

controller: Cherokee 4458U you are cleared to....

What I think happened here is that he misunderstood "Warrior" as me
saying "four" or something. When I file all I say for type is PA-28,
and to ATC guys a PA-28 is a Cherokee. So from that point on, I now use
Cherokee as my call sign, even though it says "Warrior III" on the
side, and nowhere in the POH or anywhere else does it have the word
"Cherokee". I know its not a big deal, but I was just wondering, what
do all the other Warrior people use?