I mean technically it was, but only in the sense that computers at that time were generally shared systems and the pitch was that a worker/user would have their own individual (personal) computer at their desk and wouldn't have to share resources with other users, and the IBM salespeople I talked to at the time loved to talk about this. The fact that multitasking personal systems weren't feasible at the time meant that a machine could be either multitasking/multiuser or personal. That distinction died alongside DOS though.

None of that really has much to do with what the above user said about their Linux system however.