[xseven]

Not true. Mining at later stages will provide miners with transaction fees which will be significantly high enough for them to focus on keeping the network secure rather trying to find colliding keys

[sanswork]

No coins to provide transaction fees if they are all lost though which is what the person you were replying to was saying.

[lern_too_spel]

Unless you have a hidden advantage, the cost of mining and the reward for collecting transaction fees will converge. The capital required to become a miner is very small, and the amount that a user can offer for fees is easy to change, allowing the market to be very efficient.