This paper examines the effect of H2 enrichment in a primary fuel (CH4) using 1D spontaneous Raman scattering (SRS) and OH-PLIF measurements. The experiments are conducted in a canonical non-premixed bluff body burner operating under typical central fuel jet-dominated flow mode. Downstream of the bluff body, the flow exhibits complex patterns, and it can be globally categorized into three successive zones: recirculation, neck, and jet-like zones. The flame undergoes local extinction in the neck zone, where the local flow-induced hydrodynamic strain rate (κ_hyd) is much higher than the flame extinction strain rate (κ_ext). It is well known that H2 enrichment increases (κ_ext) and thus modifies the probability of localized flame extinctions in the neck zone. To understand this phenomenon, four H2 enrichment levels are considered: 0%, 10%, 30%, and 50% (in vol.). The OH-PLIF measurements reveal the presence of local extinctions in the cases of H2 enrichment ≤ 30%, while local extinctions are not witnessed for H2 = 50%. 1D SRS measurements are implemented at different axial heights above the burner to identify the interlink between H2 addition, local extinction, and scalar structure. The evolution of instantaneous and simultaneous distributions of multiple species (CO, CO2, N2, O2, CH4, H2, H2O) concentrations and temperature are meticulously analyzed using various conditional statistics to gain insights into the non-premixed bluff-body stabilized hydrogenated turbulent flames.