refactor: simplify table registration logic by normalizing table provider

Author: kosiew

python/datafusion/context.py

@@ -24,8 +24,6 @@
 
 import pyarrow as pa
 
-from datafusion import EXPECTED_PROVIDER_MSG
-
 try:
     from warnings import deprecated  # Python 3.13+
 except ImportError:
@@ -769,13 +767,8 @@ def register_table(
                 implementing ``__datafusion_table_provider__`` to add to the session
                 context.
         """
-        if isinstance(table, DataFrame):
-            raise TypeError(EXPECTED_PROVIDER_MSG)
-
-        if isinstance(table, Table):
-            self.ctx.register_table(name, table.table)
-        else:
-            self.ctx.register_table(name, table)
+        provider = _normalize_table_provider(table)
+        self.ctx.register_table(name, provider)
 
     def deregister_table(self, name: str) -> None:
         """Remove a table from the session."""