In fact, PreciseGreen (also available as PreciseGreen dsDNA quantification kit) is designed to quantitate the dsDNA (see constants compared to SG and EB in the article published by Dragan et al., 2012). It is considered that quantitation with Pico488 is tolerant to ssDNA, but we don't have the exact constants for binding between ssDNA-Pico488

There is the reference below about the interaction of PreciseGreen with ssDNA:

Nakayama et al., 2016  (S1 Fig. Standard curves of single-stranded DNA quantification)