Reading this thread and listening to the experienced people here has just confused me even more than I was confused before.
I believe that best practice when first terminating is to follow the installation instruction, regardless of the different practices mentioned here.
In regards to maintenance, that is where I am now confused the most. I understand that there are many different types of terminations, and each one may need it's own method. I am not sure now which is the best method, because all of the different explanations seem sound.
Re-torquing is more damaging to aluminum connectors & wire. The manufacturers mitigate the loss in contact pressure by using materials with similar expansion characteristics and by using spring washers, etc.
It may be worth noting that there may not be a direct correlation between loss in contact pressure and contact resistance. An aged connector can show less contact resistance than a fresh connection with the same contact pressure.
Anyway, like you said, refer to the manufacturer's recommendations.
Would I re-torque an aluminum connector on a routine basis? Probably not. If it keeps working loose, I would think I need a different solution. I would be less worried about re-tightening a brass connector.
I don't see as big of a problem checking connector tightness at less than install torque, but would not necessarily re-torque to original install specs unless it was an approved method.
Besides, tightening a loose connector may not give you the reduction in contact resistance you expect. Some think it is better to disconnect, clean and reconnect with a clean surface when you find a troublesome connection.