Tested with version 5.5.1 , local file header (LOC) generated while using SXSSFWorkbook with zip64 mode is not set as per the spec (6.3.9) given below;
https://pkwaredownloads.blob.core.windows.net/pkware-general/Documentation/APPNOTE-6.3.9.TXT
4.3.9.2 When compressing files, compressed and uncompressed sizes
SHOULD be stored in ZIP64 format (as 8 byte values) when a
file's size exceeds 0xFFFFFFFF. **_However ZIP64 format MAY be
used regardless of the size of a file. When extracting, if
the zip64 extended information extra field is present for
the file the compressed and uncompressed sizes will be 8
byte values._**
I was expecting zip64 extended information extra field to be present in LOC header when compressed and uncompressed sizes were represented as 8 bytes in the data directory record. As a result the application reading data directory record will endup reading it in zip32 mode, this results in both compressed and uncompressed size to be incorrect.

Fig 1: Local file header
extended information extra field is not set (purple) , CRC (green) , compressed size (orange) , uncompressed size(red)
Fig 2: Data directory record
Reading application has no way to determine if the data directory record is represented in Zip32 or Zip64 mode .