The biggest connection between employment insurance and skills training would be the labour market development agreements. Last year $2 billion, and that amount is being increased to roughly $2.1 billion, was transferred to provinces to provide active training supports for EI-eligible clients. That's probably the biggest direct contribution of the EI program to skills development.
With respect to your comment about young people, I would note that the new entrant and re-entrant requirement has made that population of young people, which is about 50%, eligible for both the EI regular benefits as well as the associated training under EI part II, the labour market development agreements.