An all-Queen Elizabeth British fleet at Jutland

Could the Germans escape if every British capital ship at Jutland became a fast Queen Elizabeth-class battleship?

Probably not; superior speed, fire control, 15-inch guns, and protection would turn many historical German damage cases into sinkings while preventing British battlecruiser losses.

The decisive improvement is not calibre alone. Queen Elizabeth-class fire-control systems would raise the number of hits, while the hulls could absorb punishment that destroyed historical battlecruisers. Every British capital ship would also be able to maintain 28 knots, making escape far harder for the High Seas Fleet. German ships that were badly damaged in reality would be much more likely to sink under heavier and more accurate 15-inch fire.