The MT1300 works with a PD adapter but doesn’t take advantage of PD because it isn’t charging anything. The multiple outlet PD devices are amazingly small and versatile but they do active management of output to each device, and when a new device is plugged in, they reconfigure to reflect that. As @alzhao says, that causes the router to reboot.
Something like the Nano or, better the Nano II, with only a single port doesn’t have that problem. But then you are still taking two adapters, one for the router and one for charging all the other stuff.