Why are Thermal[Conductor|Resistor] so different from their Convective* counterparts

From a purely mathematical perspective both modes conduction and Convection are indistinguishable, both have the form h * dT.
Why is this not reflected in their implementations. For example:

• Why does not the Thermal* element impose same flow on its ports/connectors?
• Why is Conductive* not based on its Thermal* counterpart?
• Why is the code of these elements so different?

In my view, Convective* (except for the heat flow conditions imposed) are just syntax sugar. Giving a semantic interface that allows the user to express the condition in which the exchange is between a solid and a fluid, but otherwise should not differ form the Conductive* (Thermal*) counterparts. Am I missing something?

No file or test is named. Compare the Thermal*, Conductive*, and Convective* element entry points and their port or connector equations, then clarify whether a shared implementation and matching flow constraints are intended. Done should include an agreed design and tests for the desired behavior.