Not quite: under typical Ethereum chain conditions, you can include a small constant-sized priority fee to encourage miners to include your transaction. (This is really simple, and can be a default which most users are never even aware of.)

This priority fee is free money for the miner; the only reason they would not include your tx is because it would make their block slightly larger, which would make it propagate over the network slightly more slowly, and slightly increases the chance that the race is won by a different miner who discovered a block nearly simultaneously. So, the priority fee just needs to be big enough to make up for this tiny extra risk.