Building the Tiger-class cruisers with Talos from the outset

Would the Tiger-class cruisers have been more useful if built with Talos instead of relying on their automatic guns?

To an extent: a mixed gun-and-Talos design is favored, but it would have required British funding for an American missile system.

The follow-up changes the premise from a late wartime conversion to a different original armament. A mixed cruiser with automatic 6-inch guns forward, twin 3-inch mounts around the hull, and Talos aft is considered a more useful arrangement. The answer still identifies a procurement obstacle: Britain would have had to fund an American missile system during a period when it was pursuing other choices.