What did Jesus teach?
When Jesus sent out the 12 in Matthew 10.9,10 and the 70 in Luke 10.7 he says that they shouldn’t need to support themselves but should be supported by those that they teach. Basically teaching local support, not necessarily from churches or synagogues but from the house that they stay in. “For the labourer is worthy of his wages.”
How did Paul get support?
Sometimes self-support through tentmaking as stated in Acts 18.3 and referred to in 1 Corinthians 9.15 and 1 Thessalonians 2.9, but not all the time, and as far as I know these are the only times it is mentioned.
Even in 2 Corinthians 11.8,9 he talks about receiving support from the Macedonian churches. Philippians 4.16 refers to him receiving support from the church there not only while preaching in Philippi but also when he was preaching in Thessalonica (and him wanting them to be blessed by their own generosity).
Even when he talked about his self-support in Corinthians, he talked about him choosing to while advocating for support of missionaries in general in the rest of 1 Corinthians 9.1-18 where he references Deuteronomy 25.4. He basically seems to be saying that it should be his choice to self-support rather than because others think that his work isn’t real.
What should we ask ourselves?