Not close to lake in my view. Lake is bluer. Your stamp has pink notes. I call it carmine. See the following for comparisons.
http://www.usphila.com/us/stamp/pri...t-406-page-1Monitors and scanners differ in color calibration and it is notoriously difficult to reach agreement on shade in an internet forum. However, if you have never seen a true lake stamp in person, you should do so, and it will completely change your perspective on identifying the shade. A reasonable substitute is an auction catalog from one of the high-end auction houses with top-quality glossy color photos.