Timewise, arrangements and OSTs developed together and basically started appearing at the same time.
The first Arranged album was by Victor Records in March 1986 - Namco's "Video Game Graffiti" (LP Version: VDR-1165, Cassette Version: VCH-10334)
I don't have scans of the Liner Notes, but here's the Front and Rear pictures of it.
Victor Records and King Records were (and still are) massively huge labels with boatloads of signed artists in all genres, so there was plenty of available singers & musicians to tap from their huge rosters when creating vocal versions & arrangments of songs.
Personal relationships are an important part of company affairs, and music staffers at Namco knew production staffers from Victor Records, thus the idea of making game albums was easy to execute since that's what a record label does.
(Musician being friends with Producer = natural partnership)
It's the Record Label that creates the albums and they are taking the monetary risk of licensing the tunes and if it'll sell or not, so it really is purely up to them (not the game company) as to the content & quality of what's on an arranged album.
As for Dracula Battle, nobody's done a full english translation of those liner notes either, but here's where it was made, at King Record's Studio.