My questions in red above...
There are people that are lazy, but what of the people who honestly seek work and try? Does Jesus say they should be shit out of luck or would he seek to help them and get them back on their feet? Or would he say they should suffer because others are lazy?
You already know the answer to this question. The above Bible quote is very clear that it refers to people "unwilling to work."
As for those who are out of luck, Christians from the first century up until today have always
voluntarily helped those who are out of luck, the orphans, the widows, the disabled, the elderly, etc.
Non-Christians are welcome to voluntarily do the same, but statistically Christians have always done the bulk of the work. It's all a huge part of the Christian faith and it's based on Jesus' teachings and example.
how do you know they are unwilling to work?
Is this a rhetorical question?