I have read a number of those scholars and I disagree with your categorization , though like you I may not be able to vouch for all of them.
As far ar Reza , he is definitely in the bridging the devite category as you will quickly see when you read his book.I you look at his sources , which are listed at the end of his book you will since a staggering list of Islamic as well as non-Islamic sources. And what he writes is exactly that , what I might describe as a synthesis of several views structured into a unified vista. Furthermore I do not , what you mean as traditional Islamic training, since this is a subjective standard .