Why the Dutch battlecruiser would avoid a Mediterranean detour

Would Hood and the Dutch battlecruiser go through the Mediterranean to fight the Italians before heading east?

The response rejects that detour and favors using their speed for an interception in the North Atlantic.

The proposed ships are treated as battlecruisers, making a deliberate battle against fast battleships unattractive. Their usefulness in the North Atlantic rests on meeting a specific interception problem. In the Denmark Strait scenario, the two 32-knot ships should maneuver independently while the 28-knot Prince of Wales approaches from another direction. Keeping all three together would sacrifice the faster ships' ability to surround Bismarck.