I believe EDR was introduced in BT 2.0. I'm not any kind of expert on BT, but I don't know of any audio codec that used EDR.
Qualcomm has added AptX HD and Sony developed LDAC for BT and gave the codec to Android. I think Oreo will have LDAC capability. Of course, currently only some Sony products support LDAC. I guess we'll see if it takes off - it does offer some bandwidth improvements and codec efficiencies. As to whether any of these are "better", I guess it depends on what you start with as a source file for BT and how critical you are when listening.
