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 .
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
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.
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 .