"Is there a difference in performance on a treadmill and outdoor running?"
Are you kidding? You know the answer to this question. You are living proof! I know you are down on yourself right now about the difference you've felt physically, but let's look at what you've accomplished: You went from not being able to run 100yds to being able to run 6 miles at a stint. Huge accomplishment #1. Again, you went from not being able to run 100yds to doing 4x5 mile runs a week. Another huge step. You reduced your running pace from 15 min/mile to 11min/mile. If I could cut my per mile time by 4 minutes, I'd celebrate like it was 1999! And, you lost 70lbs all while doing this! That has to feel wonderful! Let's think about the health benefits of that...less pressure and strain on your heart and the the organs your vessels supply. You probably reduced your cholesterol numbers. Have you had blood work done lately? Do it and compare with former bloodwork before you began running. You've probably increased your natural life span by a number of years. All that said, I do hear your frustration. I agree with your husband. I think it's the air your breathing. Have you tried to baby-step some training to ween you to running outside again? I've found that when winter turns to spring, and spring turns to summer, I need about 2 wks to adjust (while running outside during those two weeks) to the new weather. I just ran for a week in Bermuda (I live in CT) and took a couple days to adjust when starting to run back in CT. Give yourself time. Also, I've used an inhaler in the past for exercise induced asthma. May-be ask your M.D. about that option.
Boy, you are stubborn. I just read the last line of your email. Re-read it again picturing someone else saying it, and see if you don't find a little stubbornness in it.
Run outside for about 2 wks to a month and be aware of how your breathing feels during every step. Log it so you can look back on it. Don't throw away your shoes. You just need some outside time. GET OFF THAT TREADMILL except for the coldest winter months.