> The king doesn’t really have any power in practice
No, even aside from soft power, the monarch has some hard power (which can serve as a powerful lever for soft power, as well). Notably, for instance, the requirement for Monarch’s consent (not just the more pro forma Royal Assent) to legislation affecrtng the hereditary revenues, personal property or personal interests of the Crown or the Duchy of Lancaster or Cornwall, including the Royal Household and the Royal Palaces (including the Palace of Westminster), the Crown Estate and the Crown Estate Commissioners, the Monarch's private estates, and the Monarch's interest as a landlord or an employer.
No, even aside from soft power, the monarch has some hard power (which can serve as a powerful lever for soft power, as well). Notably, for instance, the requirement for Monarch’s consent (not just the more pro forma Royal Assent) to legislation affecrtng the hereditary revenues, personal property or personal interests of the Crown or the Duchy of Lancaster or Cornwall, including the Royal Household and the Royal Palaces (including the Palace of Westminster), the Crown Estate and the Crown Estate Commissioners, the Monarch's private estates, and the Monarch's interest as a landlord or an employer.