Band-to-bypass patient here. I think I may have perspective that will help you considering I've been through it myself.
I never lost weight with the lap band because it didn't work for me. It never reduced my appetite and it merely felt like a road block between my esophagus and stomach. Food slid through the band pretty easily (if I chewed well enough and/or ate slider foods) and considering it was much easier and more comfortable to eat that way, that's what I did. The lap band does NOTHING to stop you from eating as much ice cream or cheesy mashed potatoes as you want.
With the lap band, if it's adjusted properly, you get a hard "stop" when your pouch is full. You have to be careful with the bypass because "full" is a much more gradual feeling. Eat slowly, or else you could end up eating too much and that is painful. Restriction is there but it's a gradual feeling rather than the sudden feeling of "I can't eat anymore."
Keep in mind other benefits the bypass has that the lap band doesn't: malabsorption, reduced/muted appetite, and prolonged satiety. I would get hungry pretty fast after drinking water with my lap band (I always waited the 60 minutes we were told to wait and even so, the food washed right through my pouch). With the bypass I'll stay full for several hours. I get hungry but not *famished* to the point where I'm shaky and desperate.
You're just 1 month post-op but it will get better feel free to PM me if you want to chat. Having had a lap band before will make this experience different for you. I'd get so frustrated when people told me the lap band was "just a tool" but it felt like someone gave me a bent screwdriver when what I needed was a jackhammer. The bypass is a much more powerful tool. I lost 20 pounds in 6 months with my lap band and then stopped. I was so frustrated with feeling miserable that I just gave up and ate what I wanted. With the bypass I've lost 101 pounds in 5 months. It's night and day, truly. Even on days when I want to give up and eat what I want, I can't. And I really appreciate that. Try eating a couple cookies and see what happens 😂 actually, don't. For me it's really bad farts but for a lot of people it results in terrible dumping so it's just not worth it.
Anyway, I hope I provided some comfort for you. It will get better and you'll lose weight!!! It's such a better tool than the lap band (or as I call it, crap band!)