It sounds like progress that he said no to the lift and chose lunch with you over the opportunity to go and take some stuff with her. One step at a time.
We had a great day other day the kids were so happy he was like his actual self but it didn’t last for long he did it the next day. il be honest I didn’t have my hopes up as I know what will happen but it was a shame for the kids I feel sad that they will be introduced to such disappointment and let down at a young age but I guess as long as they have me then really it’s a valuable life lesson that some people are unreliable.