I’ve done a simple test both into Premiere and Resolve using the ‘export EDL’ feature in Shotcut. Both as expected do not import the correct clip segments that were selected in Shotcut.
In Resolve, did you use the “Use Timecode > From source clip frame count” mentioned here: Lost timecode XavcS - #16 by tin2tin1266027 - That should give you the correct timings.
If you’re able to code, maybe you can make a commit adding this feature to the Shotcut project(if Dan agrees?). The EDL generating code is written in node js as far as I know?
Alternatively, you can contribute to the MLT adapter of this project(for conversion to ex. edl, fcpxml or aaf) : MLT XML adapter · Issue #267 · AcademySoftwareFoundation/OpenTimelineIO · GitHub