⭐ Merited by bones261 (2)
It entirely depends on what the mempool is doing at the time. There are times where they would be no difference in speed of confirmation between 1 sat/byte and 100 sat/byte; if the mempool is empty, they will both make it in to the next block. But there are also times where 3 sat/byte is just enough to make it in to a block, while 2 sat/byte isn't, and the 2 sat/byte transaction ends up waiting hours or days to confirm.
Around two weeks ago, I made a transaction with 1 satoshi/ byte, that took around three or four days to get confirmations. I think it is good, in case I am not hurry, and just want to move my coins for later use, not instant usages. Even 10k satoshis worth lots of money if bitcoin hit $400,000. At this rate of Bitcoin, 10k satoshis worth $40. 
Today, fee drops to 1 sat/ byte, it's time to move coins with cheap fees. Because fee bottoms out again, from its latest spike at 27 satoshis/ byte around 11 days ago.
https://coinb.in/#fees
https://tradeblock.com/bitcoin/historical/1w-f-tfee_blk_avg-01051
