A Polish capital-ship squadron frees Britain for the Mediterranean

If Poland somehow received Bismarck and Scharnhorst before the war, Britain could use the Polish squadron in the North Atlantic and concentrate far more capital-ship strength against Italy.

Question

What happens if Poland acquires Scharnhorst and Bismarck before the fall of Norway?

Short answer

The Polish squadron could cover the North Atlantic, spare Hood, and let Britain concentrate overwhelming capital ships against Italy.

Notes

The scenario requires a major historical change, especially for the incomplete Bismarck. If the Polish ships nevertheless secure the North Atlantic against German surface raiders, HMS Hood avoids her historical loss. Britain can then send Rodney, Nelson, the King George V class, the Queen Elizabeths, the R class, and other available capital ships toward the Mediterranean. The extra Polish squadron would also allow the entire Royal Navy battle force to be redistributed against Italy.