My personal experience was with Ozempic, and I can't say when in the dosing ramp up the food noise issue got better, but it wasnt right away. The effect disappeared when I went off of it.
I'm now on the Wegovy pill and did not notice anything at all on the lowest dose (no ill or positive effects), and I start the second month's ramp up dose tomorrow. Won't be at full dose until the fourth month.
I hadn't heard of microdosing GLP-1, but I also didn't suffer from nausea on the injectable or the pills (so far, anyway). But the low dose pill has not had any effect on the "craving" aspect, if that's a useful data point.