I don't like in general 'coin burning' idea. Money is a means of exchanging goods and services, not for burning! It's not a coal.
I see it like this:
Company is buying N GRCs. Their project is launched with a separate bounty of N. If payout for miners is attractive they will join and start crunching this project. Now let's assume it will take 4 months at steady pace. Half of N coins will be locked for more than 2 months. This and other forces are limiting amount of GRCs available on the market. Simple, intuitive, allows market to directly evaluate GRC value.

Bitcoin supply increase is if I'm not mistaken at 4% at the moment. It is very close to what we have at the moment in Gridcoin. Also, Bitcoin is a father of all, the first one, the special one. It's a base coin to exchange other coins on all the exchanges etc. It makes many comparisons with Bitcoin to be inadequate.