They meet anyone's definition of a personal computer. You can draw a straight line from the first Macintosh to the iPhone. The fact that they evolved out of the phone form-factor and are called "smartphones" may be confusing but it's also irrelevant.
As a bonus, on my last trip, my laptop's hard drive had a corruption issue which I couldn't easily fix without wiping the drive. I should have had a backup laptop with me. Luckily I was able to borrow my wife's Windows Surface Pro & was flying back the next day after my laptop broke. But from my fear of working on laptops I really think the people who mention doing all their work from the phone are either crazy or they are thinking far into the future or they count chats / meetings at coffee shops as encompassing most of their work. :)
Granted, cell phones might eventually might get much better with keyboard and display hookups, but even the frequent moving them around (and the smaller size causing hot components to be closer together) makes them more likely to eventually run into some sort of issue than a desktop computer which just sits there & has more space to dissipate heat and such.