Earlier quoted context omitted.
Is there a "better" free alternative webmail?
You should consider all of them insecure and big time snoops if free and/or webmail. If webmail, best you can do is use a paid service with antisnooping in terms of service and preferrably local laws. Just reduces number that will attack you. Anything further requires using something like PGP/GPG over that so they can't read it. Strong endpoint security, too.
So the question remains: Yes Free and/or Webmail are bad - which one is the LEAST bad from a privacy & security perspective?