I think the most different part between the standard and Hybrid is that they could put a different initialized turbulence factor (i.e. k and e) when you start your calculation. The flow field could converge in two different modified turbulent viscosity without any difficulty. So, maybe you could monitor your "turbulent viscosity ratio" value and check if there is any different here. Although a very low residual was achieved, the turbulent viscosity ratio may still change that means the code is trying to find a more reasonable value of the turbulent viscosity.
In my view, it's a good choice to set the residual monitor to none and let the calculation continue. In general case, the Hybrid has a more accurate prediction on turbulence factors, and the results are more reasonable. But if they have a similar turbulent viscosity ratio, the final result should be similar too.