While much accusation by the Social Gospel movement towards that which is its very core cause of existence is true. So it is fair to say so.
However, today many have praised social gospel too much, to a point where they marry the first mandate (Evangelization) with the culture mandate into a single mandate, or, evangelization in the guise of culture mandate.
Therefore, social gospel in this direction, is an excuse to saying God is unloving, and its proponents' love is not love but bribery (one which my pastor tried to cover by praising me that how I am bribe-proof - but praising someone of something doesn't excuse one from blamelessness of which the praise is against).