When objects of value are found in a ship wreck at the bottom of the sea, should those that managed to find the wreck be allowed to profit from that find? Or should a government agency take evderything salvaged and destroy it?
Some BTC owners think that if you burn the early mined coins and don't give the QC owners the possibility to get these, then the supply will go down and their coins will be more valuable. But you never know which coins will be burned next.
And some support the "21 million BTC supply" and let the QC owners get these coins. In that case we are responsible for our coins and if coins aren't being moved from old accounts to newer ones, we assume that these coins are "lost" and if QC owners develop a computer to get them, so it's their reward. But these group will always know that their coins won't be burned. Never. And therefore this blockchain will be the strongest.
It is a different thing, if someone hacks your computer and gets your coins or if a QC owner gets the "lost" coins.