Wrong on the first part. Second part irrelevant because they don't make the product.
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The owners manual linked on Crutchfield's site follows what Crutchfield and Pioneer have listed on their web sites (35x4). Crutchfield's version is a scanned PDF of a printed manual in the older look/style of Pioneer's stuff from the late 90s and 00s. The metadata from the PDF says created Jan 2001, modified Jan 2007. The version on manualslib.com is like the version you attached a picture of and in the style of Pioneer's modern owners manuals. It is also clearly a direct to PDF export, not a scan and was created in May 2012.
I see three possibilities:
- They changed the specs or some specific components midway through production.
- They changed how they measure/rate the amp.
- They had a misprint in the newer version.
Chances are extremely likely that the tech support you spoke with wasn't actually Pioneer's, but a 3rd party provider contracted by Pioneer. That was becoming the norm for companies more frequently and has exploded with covid. What they said definitely makes things seem even more confusing, but I wouldn't put it past them easily looking at the wrong model. This model was discontinued about 10 years ago, if memory serves me correctly. They might have had trouble finding it and assumed a newer version, with a "close" model number or similar description, was the one you were asking about. Sounds exactly like what I'd expect from a home based tele-support person with limited product experience. You could try sending an email to Pioneer describing the situation and asking for clarification, but I wouldn't waste the time. Chances are it'll take forever to get a response, and it might be another conflicting one.
Is there a specific reason this matters, as in trying to match to speakers with limited power capacity?