RSU buyout: pros / cons

I'm currently negotiating TC with a new company. They are telling me it is company policy to buyout my unvested RSUs and I need to share my vesting schedule with them. I explained to them that RSUs are part of my current compensation and not relevant to their offer. The recruiter responded by telling me that I would be "missing out" since RSU buyout and compensation are separate. If this is the case, can't I share the vesting schedule after they present the offer? If I refuse to share the vesting schedule, and I missing out on a mechanism to get a larger sign-on bonus? This is for an HFT/quant firm if that matters.

This feels like an end-around to figure out my current TC, but I could be wrong.