No. Primary and old forests are being replaced with managed forests. The logging industry plans to cut those managed forests (Langford) long before the carbon density becomes anywhere near what it was in an old forest (Vancouver). Those plantations will never become a Vancouver, let alone a New Delhi or Tokyo.
If the logging industry continues to hold sway in BC, managed "forests" will toggle between Lytton and Langford until it's too hot and dry for forests to grow. Then they will become grasslands (Regina).