Everytime someone gets poorer by losing coins, we all get richer because we now own a larger percentage of the total amount of bitcoins that will ever be created.
There is no way of knowing how many coins are lost so i dont think it will affect the price. Total market cap of bitcoin will always be based of the total number mined and that is the number the market look at. Lost coins are just lost and nothing else...
How can you say it won't affect the price? Lost coins means less supply which in turn will affect the price