Correct me someone if i'm wrong, but isn't review of eligibility in one's profile remains in progress till the very end? It doesn't necessarily mean that they aren't working on the other parts, like BGC or Meds. There's of course an initial review that is done within first few days to assess your eligibility for applying under express entry in general, but due section in your profile covers your entire eligibility as an applicant, e.g. educational credentials, work experience, funds etc. I think ordering GCMS notes clarifies it a lot, as you can see exactly which parts of your application had been already processed and what the results were.
As for speeding up the application, i seriously doubt that it works this way. Changes in your circumstances will not have such an impact under EE. It is understandable with regard to refugees who might have immediate threat to their lives if they don't leave their countries. So i wouldn't expect any other reply. if anything, they would likely to lean towards putting the application on hold till the personal circumstances are settled. Maybe someone had other experience but i haven't heard of such really.
