All of the above should have the ability to copy text in one form or another within their core "Windowed" application.
However the Pre-Viewer is not an area they have control over as it is part of Explorer and AFAIK simply supply renders to it as image thus not selectable text.
Unsure if when windows provided their variation of Foxit code if it had any such ability. Your recollection of Acrobats plug-in ability may have been a side effect of Internet Explorer Trident integration with Windows Explorer.
Certainly "Plain Text" is accessible via preview and one could thus expect the iFilter decoded text also be available as it is when using search. But it seemingly is not. However there are other iFilter search tools such as dnGrep or AgentRansack (recommended) that read the decoded text for fast indexed search and copy.