Neither, just cheap flat earphones that come in a headband or sleeping mask. I used the term "Sleep buds" as that is what most people will be familiar with as the idea, but they don't go in the ear.

Plenty of no-name ones on eBay for years before Bose took an interest. An example brand though is Musicozy if you want to search. I don't have that brand though and can't testify to them (thinness of phones will be important and will vary between brands).

Ofc mine won't be of similar audio quality to the ones you mention but they are fine for my use at night.