c5 corvette Hot start idling questions

I'm having an issue where on hot starts the car has positive stit around 1.2 g/s and then it just slowly goes back to around +- .5 g/s where I tuned it to. But during that time which is a minute or so it will try dipping idle bad after revving. Also hot starts show to be real lean for awhile on my wideband around 10 percent even though ect is within a couple of degrees. After I drive around the fuel starts showing where I tuned it. But iat and ect don't seem to be much different. And this happens even if the car only sits for a second like cutting it off to order food at a drive thru then cranking it back up which sucks because then it wants to dip idle pulling forward.

What are some things to help just after hot start. Fuel and idle airflow wise. Or tricks people have done or have found helped etc.

What are the modifications done to the car? Post a log and a tune file