That is weird, but maybe explainable. I guess you are running a MSD 7AL box? There are burnout connections to check (which sound tight) and all the other connections.
The E-shift is sending an electrical signal to the solenoids to energize them. It appears that the signal is getting there in good fashion during the burnout, but not at the line or pass.
One thing I would suggest is that you go to Sears or Home Depot and pick up a Greenlee wire crimping tool. It looks like a set of large wire cutters with a groove for insulated and non insulated connectors. That tool changed my life (almost). You can really lean on the connection and it will be mucho tighter than the flat steel crimping tools.
I think it is so tight it causes a mini nuclear transition to the materials.
