In contrast to /collections and /collections/:id, this endpoint doesn't really give any indiciation where the individual entities would reside. This can only be detected by prociding a self link. I'd recommend or even require that entities listed in this endpoint have a self link. Otherwise, you'd do some weird magic to map the links in the corresponding STAC entity for the Children endpoint to the entities in the Children endpoint response, which is really not ideal and maybe even impossible.
In contrast to /collections and /collections/:id, this endpoint doesn't really give any indiciation where the individual entities would reside. This can only be detected by prociding a self link. I'd recommend or even require that entities listed in this endpoint have a self link. Otherwise, you'd do some weird magic to map the links in the corresponding STAC entity for the Children endpoint to the entities in the Children endpoint response, which is really not ideal and maybe even impossible.