Dear Unateach: Yes, I am sure your husband 'failed to tell' his doctor that he is an alcoholic: the lying and avoidance of truth are symptomatic of the disease. I am a therapist, so am not a 'medical professional', but have a couple of thoughts. Join a really good Al-Anon group, where support for spouses is tremendously good and issues just such as the one you raised are discussed every week. You will learn how other are effectively able to take care of themselves while a spouse is abusing substances, in denial, lying, and doing self-harming behaviors that affect the entire family.
Possibly because I have encountered this in my own family (parents and former spouse), at this point in life (60 yrs), I would additionally either make an appointment with your husband's doctor to share the symptoms of concern and the fact that he is an alcoholic. Don't expect for the doctor to 'share' any info. with you, as the HIPPA laws won't allow that, but the doctor can just sit there while you talk about facts.
Another way to present a factual "account" of your husband's medical condition and symptoms, is to write a summary of your concerns and mail or fax to the doctor. You can add in your summary that you "don't expect a response back from the doctor" but felt the info.about your husband was vital for the doctor to know in treating him.
I am taking this stance, as a protection for you. If your husband dies from the combination of his medication and his drinking, it will be helpful for you to avoid additional pain by feeling that you did all you could to enlighten the doctor. I want you to NOT end up feeling, "If I had only told his doctor, he might not have died!"
By the way, as the alcoholic advances in his disease, it takes less and less booze to get him drunk...The liver becomes less able to handle it, and intoxication sets in more rapidly - My heart goes out to you, and I pray you will find an Al-Anon Group ASAP - Blessings from a counselor in Texas