Miners will always mine your transactions
Not true.
Transactions can be for example replaced if the RBF flag is set, resulting in the initial transaction being dropped from the mempool. This TX will never be included in a block since it would invalidate the whole block.
using low Satoshi will make you wait for hours or even days before your transactions get approved in the block
Satoshi is the pseudonym of the creator of BTC.
Even a low fee rate (sat/B) does not directly mean that you will need to wait for a long period of time.
This always depends on how many transactions are in the mempool waiting to get confirmed.
Roughly 5 hours ago the mempool cleared completely:
A transaction with 1 sat/B would have been included in the next block if it has been broadcastet at that time.