uuhhh that's rather oxymoronic. it's like asking for a research that says "a kid with poor visual skill find it easier to play hockey with sighted kids in the mainstream than kid with glasses."
Let's focus on your comment - "
especially in the mainstream, good oral speech skills will play a critical role in the socialization of a deaf child."
ok let's see.... please correct me if I'm wrong - CRITICAL ROLE... meaning you believe deaf kids at early age which is a critical time of development should spend a lot of time and focus on learning how to talk and fit into mainstream. And when doing that... that mostly delays their development in many areas. why? because How does a deaf kid with good oral skill can learn anything if teacher's lecturing in the class, walking around? How does a deaf kid with good oral skill communicate with hearing people if he/she cannot understand what that person is saying? How does a deaf kid participate well in a large social hearing group?
Why does the deaf child MUST be in mainstream? to get fit into mainstream life? Do you have some kind of preconceived notion that deaf kids from deaf school will ends up as "special-needs people" (meaning they need to depend on others) for rest of their life and you just don't want your kid to be seen as "special-needs person?" Not all deaf kids stick with their own kids. Deaf school with good program do actually help equip the deaf kids with skills to interact/socialize with hearing people.
You have a whole range of deaf people - HOH, partial hearing, deaf in 1 ear, born deaf, later-deaf, etc. But guess what they all have in common? hearing difficulty/none. Stop treating them like they can regain their hearings thru intensive physical rehabilitation. It's gone forever. Teach them with proper tool that will OVERCOME (not strengthen) their weakness in order to achieve anything.
For example - a wheel-chair person obviously cannot use legs and it's pointless to keep trying to make your legs work... use your arms to get around. Deaf person is deaf... no point in trying to so hard to regain hearing. Use sign language or any visual aids to work around it. Same for blinds - use the cane & braille... not keep trying to make their eyes see better.