Adam: the critical point in a twin is on departure between lift off and blue line (single engine best rate of climb). Once past blue line, assuming under gross weight and in CG, the plane should climb; albeit, slowly. In cruise, as Wayne said, it should maintain altitude until at single engine ceiling.
I'm sorry for the loss; seems many folks here knew the folks. I'm afraid unless we find out more was wrong with the plane, it will come down to proficiency and judgement of the pilot. To early to tell.
I might also add, we and investigators will never actually know all that went on. Investigators will do their best, but no one actually knows or will be able to determine what was actually going on in the plane.
Sigh,
Dave