If I understand you correctly this is the age-old issue of having "widgets" in the LHS/RHS area which have identical HTML output but no way for the PT to know where to place them (other than by a field value in the component or by the name/tcmuri of the CT).
This is essentially a case of having metadata at the component presentation level (doesn't really belong to the component or the CT as the placement can be different for different pages even with the same component and CT).
I've used the following solutions for this problem:
- create 1 CT and copy it 4 times (you will have the exact same DWT, parameter settings etc only the name will be different)
- create 1 CT and "abuse" tridion's targetgroup mechanism (create a target group LHS and a target group RHS and "target" the CT at the locations; in your PT filter the CPs on the selected target group)
The second solution has it's benefits but at a potential cost; what will happen if you in the future want to use Tridion's profiling and personalization? It might not have any consequences but as I have no experience with the combination of the two (the "hack" and what P&P is supposed to be used for) I cannot make any guarantees...