How does TIMESTAMP WITH LOCAL TIME ZONE behave when exporting data?
I made a test and exported table MY_DATA as given in your example.

Then I had a look at the dmp-File using a HEX editor. The file contains

&lt;?xml version="1.0"?&gt;
&lt;ROWSET&gt;
    &lt;ROW&gt;
        &lt;STRMTABLE_T&gt;
            &lt;VERS_MAJOR&gt;1&lt;/VERS_MAJOR&gt;
            &lt;VERS_MINOR&gt;1 &lt;/VERS_MINOR&gt;
            &lt;VERS_DPAPI&gt;3&lt;/VERS_DPAPI&gt;
            &lt;ENDIANNESS&gt;2&lt;/ENDIANNESS&gt;
            &lt;CHARSET&gt;WE8ISO8859P1&lt;/CHARSET&gt;
            &lt;NCHARSET&gt;AL16UTF16&lt;/NCHARSET&gt;
            &lt;DBTIMEZONE&gt;+01:00&lt;/DBTIMEZONE&gt;
            &lt;FDO&gt;0000006001240F050B0C030C0C0504050D0609070805050505050F05050505050A050505050504050607080823472347081123081141B0470083001F07D00300000000000000000000000000000000000000000000000000000000000000000000000000&lt;/FDO&gt;
            &lt;OBJ_NUM&gt;3286546&lt;/OBJ_NUM&gt;
            &lt;OWNER_NAME&gt;PMDSYS&lt;/OWNER_NAME&gt;
            &lt;NAME&gt;MY_DATA&lt;/NAME&gt;
            &lt;PROPERTY&gt;536870912&lt;/PROPERTY&gt;
            &lt;COL_LIST&gt;
                &lt;COL_LIST_ITEM&gt;
                    &lt;OBJ_NUM&gt;3286546&lt;/OBJ_NUM&gt;
                    &lt;COL_NUM&gt;1&lt;/COL_NUM&gt;
                    &lt;INTCOL_NUM&gt;1&lt;/INTCOL_NUM&gt;
                    &lt;SEGCOL_NUM&gt;1&lt;/SEGCOL_NUM&gt;
                    &lt;COL_SORTKEY&gt;1&lt;/COL_SORTKEY&gt;
                    &lt;BASE_INTCOL_NUM&gt;1&lt;/BASE_INTCOL_NUM&gt;
                    &lt;BASE_COL_TYPE&gt;0&lt;/BASE_COL_TYPE&gt;
                    &lt;PROPERTY&gt;0&lt;/PROPERTY&gt;
                    &lt;NAME&gt;MY_DATA_ID&lt;/NAME&gt;
                    &lt;TYPE_NUM&gt;2&lt;/TYPE_NUM&gt;
                    &lt;LENGTH&gt;22&lt;/LENGTH&gt;
                    &lt;PRECISION_NUM&gt;38&lt;/PRECISION_NUM&gt;
                    &lt;SCALE&gt;0&lt;/SCALE&gt;
                    &lt;NOT_NULL&gt;1&lt;/NOT_NULL&gt;
                    &lt;CHARSETID&gt;0&lt;/CHARSETID&gt;
                    &lt;CHARSETFORM&gt;0&lt;/CHARSETFORM&gt;
                    &lt;CHARLENGTH&gt;0&lt;/CHARLENGTH&gt;
                &lt;/COL_LIST_ITEM&gt;
                &lt;COL_LIST_ITEM&gt;
                    &lt;OBJ_NUM&gt;3286546&lt;/OBJ_NUM&gt;
                    &lt;COL_NUM&gt;2&lt;/COL_NUM&gt;
                    &lt;INTCOL_NUM&gt;2&lt;/INTCOL_NUM&gt;
                    &lt;SEGCOL_NUM&gt;2&lt;/SEGCOL_NUM&gt;
                    &lt;COL_SORTKEY&gt;2&lt;/COL_SORTKEY&gt;
                    &lt;BASE_INTCOL_NUM&gt;2&lt;/BASE_INTCOL_NUM&gt;
                    &lt;BASE_COL_TYPE&gt;0&lt;/BASE_COL_TYPE&gt;
                    &lt;PROPERTY&gt;0&lt;/PROPERTY&gt;
                    &lt;NAME&gt;THE_DATA&lt;/NAME&gt;
                    &lt;TYPE_NUM&gt;1&lt;/TYPE_NUM&gt;
                    &lt;LENGTH&gt;10&lt;/LENGTH&gt;
                    &lt;NOT_NULL&gt;1&lt;/NOT_NULL&gt;
                    &lt;CHARSETID&gt;31&lt;/CHARSETID&gt;
                    &lt;CHARSETFORM&gt;1&lt;/CHARSETFORM&gt;
                    &lt;CHARLENGTH&gt;10&lt;/CHARLENGTH&gt;
                &lt;/COL_LIST_ITEM&gt;
                &lt;COL_LIST_ITEM&gt;
                    &lt;OBJ_NUM&gt;3286546&lt;/OBJ_NUM&gt;
                    &lt;COL_NUM&gt;3&lt;/COL_NUM&gt;
                    &lt;INTCOL_NUM&gt;3&lt;/INTCOL_NUM&gt;
                    &lt;SEGCOL_NUM&gt;3&lt;/SEGCOL_NUM&gt;
                    &lt;COL_SORTKEY&gt;3&lt;/COL_SORTKEY&gt;
                    &lt;BASE_INTCOL_NUM&gt;3&lt;/BASE_INTCOL_NUM&gt;
                    &lt;BASE_COL_TYPE&gt;0&lt;/BASE_COL_TYPE&gt;
                    &lt;PROPERTY&gt;0&lt;/PROPERTY&gt;
                    &lt;NAME&gt;DATA_TIMESTAMP&lt;/NAME&gt;
                    &lt;TYPE_NUM&gt;231&lt;/TYPE_NUM&gt;
                    &lt;LENGTH&gt;11&lt;/LENGTH&gt;
                    &lt;SCALE&gt;6&lt;/SCALE&gt;
                    &lt;NOT_NULL&gt;1&lt;/NOT_NULL&gt;
                    &lt;CHARSETID&gt;0&lt;/CHARSETID&gt;
                    &lt;CHARSETFORM&gt;0&lt;/CHARSETFORM&gt;
                    &lt;CHARLENGTH&gt;0&lt;/CHARLENGTH&gt;
                &lt;/COL_LIST_ITEM&gt;
            &lt;/COL_LIST&gt;
        &lt;/STRMTABLE_T&gt;
    &lt;/ROW&gt;
&lt;/ROWSET&gt;


As you can see, it contains information &lt;DBTIMEZONE&gt;+01:00&lt;/DBTIMEZONE&gt;, so we can assume when you import such file into anther database running on different DBTIMEZONE  the values will be properly converted.