Thank you so much, @DanH_sas! Your guidance was so useful, I've learnt something new and found related documentation as well. Your codes created EPS file without transparency of shaded areas.. Please see below. EPS file.
Previously, this plot, with transparency, looked like as below. PNG file. (Same for EPSI file). I've even tried changing original transparency levels (datatransparency=.55) in the PROC TEMPLATE step, but it didn't produce EPS file causing the same error again. Looks like transparency needs to be completely off for EPS files.
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