I'm very skeptical. I've never heard of investors asking for more stock in a deal that has already closed. The worst that could happen is that an investor might pull or try to renegotiate a termsheet.
How much flexibility do funders have to renegotiate terms on the fly? In general, I think we should remember that startups should be as interested in the profitability of VC funds as much as anyone, but some of this seems a little extreme. Very thorough article, though.