'the slowness is on the SfB side not in Prognosis' may not be accurate statement. Since we don't store this information, the session details for completed calls is an 'on-demand' query and hence besides the slowness/responsiveness of Skype SQL architecture, prognosis has the overhead of sending the request, receiving and processing data and displaying in next interval. Best case is data would be returned within 1 interval (0-30 sec).
Can these Conversation information stored in a Prognosis DB for later Reporting ?
We need to report the Device informations (Headset/SW Version/...)
what version of prognosis you are running? Although 'conversation' view/record can not be stored into a prognosis database, most of the data is made available in prognosis record(s) in 11.4, so that you can store and create custom reports on that data. Just go through some of the 'Lync' records.