DTS doesn’t need to use the EAE binary to transcode it. Only Dolby codecs do.
The error is caused by the inability of this binary to execute properly.
See TrueHD audio transcoding BUG = error not enough space - #2 by OttoKerner for a few things to check. Unfortunately I cannot tell you how these tips translate to Unraid, but I assume there is plenty of similarity to Linux proper.