Yes, higher T/W ratio due to reduced stage-count is pretty obviously the purpose here. This does sound a bit like a combination of a YF120-like counter-rotating statorless LP turbine with DB 007 style counter-rotating "nested" compressors. That would take a lot of the complexity (e.g. the gearing for counter-rotating drive) out of the DB 007 layout, but is still anything but simple. I would be wary of assuming such an exotic configuration will successfully translate into a production engine.