I work for/with/teach pro colorists. So this is a completely ongoing topic "over there" in that crowd.
No, none of these apps have any possible way to share project cross-applications. None.
You can only do some of the stuff in sequences via the ancient XML, EDL, OMF, or AAF processes. Different ones handle some of the bits differently/better than others. But all will have things you just need to learn how to handle.
Such as if you do resizing in the preferred method, the data actually make it into an XML or EDL, but if not, the data will not. And there are many things like that.
So pass-through tends to be a complex process. First, "flattening" the timeline to no more than two tracks of video, and often, simply "turning off" graphics. Then, typically involving something like exporting both an XML and and EDL, along with a low-res but same-frame-size H.264 export of the sequence "as is".
The next person imports the XML/EDL, and then the media, and the H.264. puts the XML/EDL media-controlled bit on track 1, the H.264 on track two, and checks everything. Cuts happening when they should, to exactly the correct frame, any sizing happening also being corrected, and oh my ... any time changes/speedramping probably rebuilt manually.