Turbine time is of course the key value for airlines, and TPIC is the icing on the cake.
Non-turbine PIC and flight time generally only matters to regionals who need applicants who are ATP eligible. Although if you somehow acquired a lot of piston PIC in some niche 135 or 121 operation I imagine that would count for something.
SIC in this context is kind of *assumed* to be turbine, since most planes and operations which require an SIC are turbine.
In the military context, it's all turbine time, unless you were doing something really weird (OGA?).