1) I drink coffee in the morning too. No stomach problems yet, but I'm completely dependent on caffeine. Last summer I did a 4 month hiatus from caffeine and at the end I determined the tradeoff for me wasn't worth it. The energy and focus is just too valuable, to go without.
2) If it's going well, I wouldn't worry about it. At some point your body will stop having a huge fat reserve to burn off, and you will find that your energy levels crater and recover very slowly if you exert yourself too much for a given macro load.
3) You should try an extended fast! My response to "you are skipping the most important meal of the day" is "I don't even eat every day, fasting is good for you". If they press the issue I'll tell them about fasting for 5 days and how good it makes me feel.
And extended fasts really do make me feel amazing after the fact.
Also, it would be good to simultaneously (somehow) check if the results depend on one's genetic or cultural bias towards eating in the morning or evening.
The only immutable truth is that calorie deficit will make you lose weight.
BUT different people find different methods of calorie deficit easier to handle mentally and/or physically.[1]
I can easily go even 20 hours without food maybe only sipping on some water or tea, my grandmother is the same. She can just have a big meal once per day and go about her day (and night) just fine.
My partner on the other hand needs to eat every 3-4 hours or they become completely unbearable mentally. It doesn't need to be a full meal, but some kind of calorie top-up is essential.
[1] ...and it seems that different people get different amounts of calories from the same food, it's a gut flora thing.
If I don't have some kind of protein in the AM, I quickly start having mental/emotional issues (and end up with recovery problems due to exercise, including pain). Trying to make up for it at lunch is a losing battle.