Not sure about those laws but yes, COPPA is more strict. Per the FTC:
> In designing your age screen, you should ask age information in a neutral manner, making sure the data entry point allows users to enter their age accurately and does not default to an age 13 or over. An example of a neutral age screen would be a system that allows a user freely to enter the month and year of birth. Avoid encouraging children to falsify age information by, for example, stating that certain features will not be available to users under age 13. In addition, consistent with long standing Commission advice, FTC staff recommends using technical means, such as a cookie, to prevent children from back-buttoning to enter a different age.