We present results from a simulation of SU(2) lattice gauge theory with Nf = 4 flavors of Wilson fermion and non-zero quark chemical potential μ, using the same 123 × 24 lattice, bare gauge coupling, and pion mass in cut-off units as a previous study [9] with Nf = 2. The string tension for Nf = 4 is found to be considerably smaller implying smoother gauge field configurations. Thermodynamic observables and order parameters for superfluidity and color deconfinement are studied, and comparisons drawn between the two theories. Results for quark density and pressure as functions of μ are qualitatively similar for Nf = 2 and Nf = 4; in both cases there is evidence for a phase in which baryonic matter is simultaneously degenerate and confined. Results for the stress-energy tensor, however, suggest that while Nf = 2 has a regime where dilute matter is non-relativistic and weakly-interacting, Nf = 4 matter is relativistic and strongly-interacting for all values of μ above onset.