When both sides have a column with the same name, the output labels keep the side visible.
qualified names
Read output shape
The output has 4 qualified columns across 4 rows.
columns=4
CROSS JOIN examples are tiny finite-table transforms; SQL dialect completeness, type coercion, optimizer behavior, execution cost, indexing, and database-product claims are out of scope.
Names stay readable
The renderer labels columns as left dot name and right dot name.
left dot right dot
Summary
Qualification here is a teaching display convention, not a product SQL claim.