I own many Trib sandals and they don't wobble. However, I bought a pair of McQueen booties with wobbly heels and the damn heel broke off the first time I wore them. They actually broke off as I was bearing my feet down in the car before I swung my legs out to exit not even while walking. The oddest thing as I'd never broken a heel on a shoe before. I was BEYOND irritated as these were a $1200 pair of shoes.Just got a pair of the lower heel YSL Tribute Sandals at a consignment shop. The heels are a bit wobbly. They bend somewhat at the base of the sole where the platform attaches. They may have a defect and that's why they were sent off by previous owner. Are anyone else's Tributes like this? I wonder if a cobbler can reinforce them?
Anyway, I took the shoes to the cobbler and he showed me that the heel was actually 1/4 inch shorter than the front of the shoe (common in McQueen shoes I later learned). When he took the heel off he found they used really short nails to attach the heel. So, I had him change to longer nails to secure the heel on BOTH shoes. Not sure if it helped as I never wore the shoes again but it wasn't expensive to fix.
Good luck!