As Geert suggested the layout is stored in the registry.
[HKEY_CURRENT_USER\Software\Sparx Systems\EA400\EA\OPTIONS]
holds a key PKG_BRWSE_LAYOUTS
with the comma separated list of profile names (so you better don't use comma in your profile name ;-).
The detailed information is stored in
[HKEY_CURRENT_USER\Software\Sparx Systems\EA400\EA\EA1200Workspace\BCGPGrids\EA_ELEMENT_LIST_<name>BCGPGrid-0]
where <name>
is the according profile name.
For a sample layout here they looked like
"Columns"=hex:11,00,01,00,00,00,01,00,00,00,01,00,00,00,00,00,00,00,00,00,00,\
00,00,00,00,00,01,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,\
00,00,00,00,00,00,00,00,01,00,00,00,01,00,00,00,01,00,00,00,01,00,00,00
"ColumnWidth"=hex:11,00,16,00,00,00,04,01,00,00,50,00,00,00,50,00,00,00,50,00,\
00,00,50,00,00,00,50,00,00,00,50,00,00,00,50,00,00,00,50,00,00,00,50,00,00,\
00,50,00,00,00,50,00,00,00,50,00,00,00,50,00,00,00,50,00,00,00,50,00,00,00
"ColumnOrder"=hex:08,00,00,00,00,00,01,00,00,00,06,00,00,00,02,00,00,00,0d,00,\
00,00,0e,00,00,00,0f,00,00,00,10,00,00,00
"Groupping"=hex:00,00
"LastFieldChooserPos"=hex:00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00
"IsFieldChooserVisible"=dword:00000000
"IsFieldChooserThemed"=dword:00000001
"SortColumns"=hex:00,00
I have to leave that to you to decipher the coding used here. But for a pure ex-/import you probably don't need to do that.