There's no practical difference between $10m with no interest, versus $10m where any interest which puts the total holding over $10m is confiscated. I think people such a situation would put their money into low-risk, easy-access investments.
(And, of course, it would make sense if the $10m maximum was inflation-linked; and then as such it would make sense to invest to maintain the capital against inflation.)
(And, of course, it would make sense if the $10m maximum was inflation-linked; and then as such it would make sense to invest to maintain the capital against inflation.)