Why are reputable open access publishers committed to peer review?
Credibility and trust are important to all reputable publishers. Many established publishers and presses who have introduced open access as an option for their authors will not ask you whether you want to make your book open access until the proposal has been accepted by an initial peer review (although you may certainly request it upon submission). Likewise, new open access publishers and presses need to establish credibility and trust for their brand and recognise the importance of building a strong reputation for editorial support, peer review, copy editing, production, promotion and marketing. Reputable publishers, whatever their business model, have no interest in producing substandard books since their own reputation will suffer and they will become unsustainable if they do so.
The following toolkit article(s) address(es) this question: