My pleasure. So unfortunately, no, you wouldn't know R2 decisions. Best case you would have interview invitations by the time R1 deposits are due.
Now, there are two things to this. For one, I mentioned your R2 schools should be your lower priority ones and specifically because of this reason. The thought would be if you got into one of the 3 - 4 schools in R1, it wouldn't matter the decisions in R2 because you would go to one of the R1 schools before the R2 schools anyway. Now let's say by the time you apply to R2 schools things have changed and, for some reason, one of your R2 schools is where you're dying to go. Well, in that case, you would probably still put a deposit down on the R1 school you have as a back up and if you get into the R2 program, you'd lose out on your deposit. It's seems like a lot of money but in the grand scheme, it really isn't. A lost $2K deposit against a $180K MBA has to be kept in perspective, right? However, if you think long and hard about how you prioritize your schools (visits, interviews, research) you can mitigate the risk of this happening.
The other annoying thing about the way the rounds work is that you will need to be working on your R2 applications the moment you submit your R1 apps. The deadlines for R2 follow, in most cases, on the heel of R1 decisions and if you would wait until then, you'd be in a bad spot! For example, if you get R1 decisions mid-December and R2 decisions are the 1st of January, you can't put everything together (including your recommendations) in just 2 - 3 short weeks.
What would be ideal is if all the schools got together and established a common schedule - but - that isn't going to happen
Bhavik