I live and fly right at the base of the Continental Divide, and I cannot count how many pilots over the years have told me they couldn't wait to get into multiengine a/c flying so they'd be safer over the mntns, be able to fly back out of them if an engine quits. I begin their training only after we take a look at SE performance and SE ceiling, etc. In non-turboed recip' light twins [I include Barons and 310s and Aztecs here], you will find single engine service ceilings significantly less than 10,000...often down around 7,500 or thereabouts. [I'm generalizing, don't have the exact book figures at hand.]
This issue came up during my multi training. As soon as you are down to one engine, the airplane doesn't immediately drop 5,000 feet. The airplane will lose altitude. But, with competence, the descent will be gradual. You may not get a second chance once you pick the landing area in the mountains. But you will have more time to pick that landing area after one engine quits if you still have another engine running.
If you only had one engine to start with, your range of options for landing areas will be much more limited.
ApacheBob