Contract Question--right of Company to communicate agreement obligations to other potential employer

I've been given a research consulting agreement to sign which has the clause:

"Company may communicate the obligations contained in this Agreement to any other (or potential) client or employer of Consultant."

This gives the company the unqualified right to proactively and for any reason share the details of the agreement with any potential employer of mine in perpetuity. I suppose that the intent is to protect their IP. If this right were at least qualified to situations where there were concrete, active legal proceedings connected to potential IP loss, I would be willing to sign. They don't appear to be willing to budge on this. Otherwise, I see the clause as potentially jeopardizing my ability to work in the company's industry (or any other industry for that matter). Who would want to hire someone when their previous client waives a contract in their face and tells them "be careful?"

I have never had a contract with this clause before. Are my fears justified? (I'm in California.)

 

Thanks for your response. I am a research engineer. The agreement is for me to carry out a research project for a tech company. I will be exposed to the company's prior IP/trade secrets and, potentially, may generate IP for the company. The company would like protection against the possibility of me revealing or using any IP I may generate elsewhere. I believe that this is what motivates the clause. However, as the clause is worded it seems that they could share this contract with other employers for whatever reason they choose, and this could be damaging to my career.

So, if I had to frame a legal question, it would be this: Is it legal for them to share the contract with others in the absence of an IP dispute if the effect of sharing the agreement would cause other employers to not want to hire me because they'd feel intimidated by this company warning them to be careful about hiring me because of my previous contractual obligations (even there's no evidence of any impropriety on my part regarding their IP)? What modification of the clause should I propose to prevent this issue?

Thank you again.