Hi Mass,
These seem pretty typical for ssGSEA scores, the other scores you mention are more along the lines of what you'd expect to see with unnormalized GSEA enrichment scores, which are a substantively different metric than the calculation ssGSEA performs and are not directly comparable. But that can depend on what kind of normalization you used for your input data. What did you use here? Normalized counts? TPM? FPKM? We generally recommend TPM here, and strongly recommend against any metric that doesn't take into consideration gene length bias. But the specific choice of metric will impact the scale of the scores.
If you really need scores that are comparable to standard GSEA scores, I might suggest trying GSEA preranked. If you only have a small number of samples it might be reasonable to run each of them through a GSEA Preranked run. That said, the scoring method for ssGSEA is better suited towards this sort of analysis.
-Anthony
Anthony S. Castanza, PhD
Curator, Molecular Signatures Database
Mesirov Lab, Department of Medicine
University of California, San Diego