They will climb
DF,
From personal experience I can tell you they will climb. I had one die on me a few years back. It didn't do much after I feathered it until I remembered to split the ball and put 5 degrees bank into the good engine plus shut the cowl flap. After that it was all good. I had 8 pax and 3 hours fuel so a fair bit of weight but to be fair it was only about 28 degrees OAT.