I am deeply skeptical of this statement. Soft power is great but actual power comes from the ability to project your military and economy.
As such, the US's soft power will remain until the EU is willing to compromise on its welfare state to build an actual functioning defense industry and an economy that prioritizes innovation over taxes/regulation.
But I am skeptical the EU/UK will ever reach such a compromise (see: mass riots in France over raising the retirement age, despite it being objectively and clearly necessary; the UK's reluctance to release the triple lock pension despite it impoverishing the country, etc.)