Yes. That's the only way to solve financial conflicts of interest. Any other solution will leave a financial conflict of interest. It will leave the system open.
The Conservatives propose selling the investments and then giving the money to a trustee, who would reinvest them, but you would still be invested and the trustee could easily communicate to you, even if it was prohibited.
It's just better to sell them. That's what was recommended in 1984 and 1987 by a federal government task force.