I don't think that it makes the application trackable faster but in most cases (emphasis on most) if you attach form G-1145 to your application, USCIS Emails you your receipt number when they process you for a receipt. In that regard, you don't have to wait for the receipt to arrive in the mail to attempt to check the status. As far as the case status being available on CRIS that happens when it happens G-1145 has nothing to do with that
still waiting for my interview letter...
Our appointment time was 9:30 AM and we got in the waiting room at 9:00 AM. We waited for a little more than an hour and it was pretty hot inside the waiting room. Our interview lasted about ten minutes. The lady was very nice and she went through documents she had in our case and asked me to show her my passport. She took my I-94 form. My husband and I were divorced before, so she asked us questions to confirm whom we were married with before. She asked me some questions on I-485 form very quickly; and no additional question was asked at all. She asked us to show her some documents to prove we were living together. We showed some statements of our joined bank accounts and electricity bill, which she took and put in our case file. We had life insurance for each other, but she did not want to see them. She then asked us to show her some photos. We took forty four photos and she picked up a few to put in our case file. She told us that my GC was approved and I would receive my GC in ten to fifteen days. I was surprised it was so easy and she did not even check my husband's passport or other ID. We brought a lot of documents and their copies, but they were not used.