The fundamental difference is that with TLS you have to trust ALL certificate issuers, but with DNSSec you only have to trust your TLD and your certificate issuer. Most companies trust their home country as a matter of practicality.
Certificate transparency is cool, but it's not clear it really works for many classes of devices (particularly devices that only use one network like gaming systems or TVs). The global adversary just compromises the channels used to obtain the transparency logs and to report violations. It seems to work for mobile consumer devices like cel phones, because these devices naturally connect to many different networks, of which only some are compromised.
Certificate transparency is cool, but it's not clear it really works for many classes of devices (particularly devices that only use one network like gaming systems or TVs). The global adversary just compromises the channels used to obtain the transparency logs and to report violations. It seems to work for mobile consumer devices like cel phones, because these devices naturally connect to many different networks, of which only some are compromised.