The vagueness of your sought-after conclusionons make it hard to reasonably address the question.

We can draw a bunch of implications. For instance, the only method for validating tranactions in Bitcoin requires miners to include transactions in blocks. People wanting to do bitcoin layer one transactions must submit a transaction to the mempool or to a miner for inclusion in a block.

Unrelated to the scope of what I wrote so far in this thread, private keys control/change UTXOs, through the mechanism explained above.

Therefore, one can imagine that if the person with private keys refused to, or it the miners refused to, cooperate to validate a transaction, it will never make it to the block chain.