Nope, not a better way. Just different ways, many ways to do this work- and much of it, while it may make for interesting discussion, doesn't convince me it translates at the target. These days, you're called a hack online for chambering between centers....some "strong" opinions out there, right?
But I am curious about your explanation for rigidly holding the counterbore (I use them too...faster and more precise than I can bore). If you're convinced your tailstock is perfectly aligned, why not just keep the same approach for the reamer?
When I would really dig into the subject of machine tool alignment I found it's very complex, and above my pay grade