Even if no one can use the wealth, wouldn't it be placed in some kind of trust in order to keep accruing wealth rather than be decimated by inflation?

And then, as the frozen rich wouldn't use any of their wealth, it would just keep accruing wealth. They would be perfect, frozen, capitalists. The control of that wealth would give power, and controllers of the trusts can gain even wealth and thus power more by coordinating. The power would only keep growing as more rich freeze themselves to keep up with and join the growing trust of trusts.

Living in a society where the frozen owners would own all the means of production, these frozen owners would naturally be hailed as sleeping kings in order to motivate me system. They may even be seen as something godlike.

Then one day, if one wakes up, it would cause immediate power struggles, as well as give a flash point for the discontent of the billions of impoverished serfs slaving away for the controllers. But the controllers would mobilise violence, and....

Oh, HG Wells already wrote this story. Typical!