The scholars on that team were all good men, Protestant in theology, but the best English scholars for translating in their day. And they used a good Greek text, for the most part. And the Elizabethan English is still beautiful. In fact, the grammar, pronouns, cadence, etc more closely match the Greek than modern English. That being said, the interpretation or understanding of it, and the god-like quality assigned to the scriptures by Protestants, and the self-contradictory rejection of church tradition, means they do a hell of a lot of damage to themselves and to others with it.

King James's objection to the Geneva was mainly to the notes printed with it. They were Genevan, and reflected the Reformed or Calvinistic view strongly, and the Anglican church was not completely in favor of that branch of reformation theology. That and it came from the Continent and there was no money made by the Crown when it was smuggled in.