In my experience all usb c chargers are less reliable than barrel connectors, probably because of the microprocessors required for the handshake
I can charge my Sony headphones with anything from an old USB2 only PC, old Samsung USB-A phone charger to my 65 W HP USB-C power adapter.
I don't think they have any kind of PD mode, I think they just expect regular 5V. The specs on the site say "USB charge" and the charging duration is 3 hours. They come with a USB-A to C cable.
I did not know that, thanks. I was expecting USB-C chargers to work in "dumb 5V mode" by default. I guess that could be to avoid problems if you connect two chargers together?