Right of First Refusal for EIR

A VC firm is offering me an Entrepreneur in residence role, with the condition that they will have the right of first refusal for the startup created out of this. In their words, they are 'opening up their resources in exchange of ROFR'. I understand the ROFR will limit my options when it comes to fundraising, but having access to their resources is valuable to me. I would appreciate any advice and wise words as regards to how to think about this.