Photos app album list lacks sorting and search when adding photos on iPhone

I have many photo albums on my iphone. I know, I could search for an album go into there and add pictures.

But I want to have the following way:

Photo app

select pics/movies

Add To Album

--> a huge list of album show up

There is no sorting logic in this list nor is there a search possibility.

A search by name, latest/newest would be super nice - much better a search function to enter

Do I oversee something, because I think this should really be basics in such an app.