No. Excerpt from the IPO prospectus:
...
The Terms of the IPO.
(a) The Directors have elected to divide BitVPS into 1`000`000 (one million) equal non-voting shares with a total equity value of 1`200 BTC (0.0012 BTC each). ...
Shares represent equity, ownership interest, not "share of the profit."
That said, you are correct in assuming that I'm owed nothing -- I'm not a BitVPS shareholder.