DWP referring to my UC application as PIP

I finally applied for UC back in July after being unemployed for a while but too scared to claim. Luckily since then everyone I've seen or spoken to has been great, that's not the issue. The problem is that a few weeks ago when I got my letter from Capita telling me the date of my assessment, they referred to it as my PIP assessment. I assumed this was just a mistake since they probably deal with both UC and PIP assessments in my area. Then I had the phone call though and the woman asked if I had filled in a form as there was "nothing on the system". Again I thought this was normal since I'd read about assessors not having seen people's forms. But I just now got a text from the DWP stating they've "received the written report of my PIP assessment". Now I'm getting concerned and worried the DWP are somehow processing a claim for a benefit I haven't even applied for. I was planning to apply for PIP at some point in the future but I wanted to get my UC/LCWRA assessment out of the way first. I know the logical thing would be to just call them but I was wondering if anyone else has had this issue?