I would share about the benefits of using multiple rounds of questions when establishing a community of inquiry.
First, having multiple shorter rounds of questions can help engage students in the community building process. There will be a higher amount of engagement if students only have to wait 15-20 minutes to share their thoughts on the question then 15-20 minutes to share their thoughts on the next question, opposed to having to wait 60 minutes to share their thoughts on multiple questions.
Second, having multiple rounds of questions can allow the facilitator to scaffold these questions in terms of 'depth' and 'risk'. For example, the first questions could just be general info like "What is your name, where do you live?", the second question could then be a low 'risk' question where students share something more personal, like "What do you like to do in your free time/what are your hobbies?" By having questions of variable risk you can get scaffold students ability to answer more risky questions in addition to assessing which students might be more hesitant with sharing.