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Vote for this feature: https://community.spotify.com/t5/Live-Ideas/Playlist-Add-Artist-to-a-Playlist/idi-p/4503717
I built a free app to solve this: playlisttools.com
You can quickly add all of an artists tracks to a new or existing playlist, filter out certain types of albums, or add an artist's top tracks.
1. Search the artist to go to their page.
2. When on the screen showing all albums, simply drag and drop the album cover into the playlist and it will add the entire album.
They want to be able to add all of an artist's tracks at once (all albums) to a playlist. If an artist has 20 albums, right now you'd have to drag all 20 albums over one-by-one like you described.
This would be a really useful function to add.
Spotify is ridiculous