2003 handhelds were already too fast?

The reviewer complains that Doom II compiled directly for 2003 PDA was just too fast:
https://youtu.be/Mz3nNKQRnNQ?t=834

And that is not even a customized Doom port, like PlayStation or GBA ones, but just the DOS version compiled without much optimizations, but running in full screen. When Doom was originally released, it was running really slow even on high end x86 PCs.

Well, a PDA released in 2003 probably had a StrongARM or XScale in it if it was running Windows Mobile. So being too fast for DOOM definitely wouldn't be outside the realm of possibility