Proof of Stake - Majority of Coins Burned

[michaelmclees]

Suppose one creates a pure proof of stake coin and then sells 1% of the total supply. He burns 98% and keeps 1% for himself.

Does the network ignore the burned coins or does it keep randomly selecting the burn address as the next block generator 98 times out of 100?

[cr1776]

This seems like it is off-topic for here since it is not about Bitcoin, but an alt coin.  But the answer would depend on the implementation of the coin.

E.g. Is the network aware that the coins were provably burned?  If so, what are the designed and programmed rules for that case?