One thing to note is that SimpleLgoin (haven’t used AnonDady) is that it can generate different kinds of aliases.

One option allows you to specify the part of the email before the @. These will all use a common randomly generated sub domain. As these subdomains are assigned to individual users, you can correlate two aliases to the same user. It’s probably not picked us as easily as an exact match, but far from impossible.

Simple login does have the option to generate completely random emails which don’t use a common subdomain. This mixes your usage with every other user of the service.