Mine kicked in fast, maybe within 24 hours. Not so much stopped wanting to eat as noticed portions shrink naturally. Eventually the constant thinking about food just went away. At 10 months now I have to be careful to eat ENOUGH or I'd skip meals entirely.
I keep seeing that claim too, that stepping down loses all the benefit. But I'm not convinced that's actually true for everyone. Lots of people here seem to suggest otherwise based on their own experience.
Most folks starting the Lilly protocol don't jump straight to 60mg kits anyway, so I wouldn't stress. I've been at this a while and honestly don't think you'd need to toss anything as long as you store it reasonably well. Worst case, by the time you get to the bottom of the vial, you might lose...
At 6 weeks you're still ramping up and haven't hit the proven dose range yet. Going slow has kept me side effect free - no muscle loss, no hair loss, nothing. Down nearly 60 pounds over the year. This is long term, not a race. One pound a week suits me fine since I feel normal doing it.