First collegiate team to make VCL ?
It depends a lot on how both are set up. If they're a club and not directly affiliated with the school, then they're basically a free-agent team, meaning an org would need to pick them up. If Winthrop has them under contract, then Winthrop would need to sign the contract for VCT.
I'm assuming they're a club, so I would say they're essentially the equivalent of a free agent team that would need an org to pick them up, they just use the Winthrop university branding.