Yep. The phrase "Personal Computer" is fairly old at this point. Everyone and their dog called their computer product a "Personal Computer" back in the 80s. The id-plate on the Commodore 128 and 64C computers had that exact phrase under the computer name.
"IBM-compatible personal computer" is a wordy phrase, and even before the "IBM-compatible" part became somewhat anachronistic, it was being abbreviated to just "PC", heralding the death-knell for most other systems that otherwise had every right to use the name.