Looking at it now, it seems it has again flipped back to saying "Purging", with a value of < 2.2 sats/vbyte, which again matches up with Jochen's site. I'm not sure why it changed and changed back? Perhaps their mempool size limit is slightly larger than standard so they were accepting transaction with lower fees which other nodes were rejecting? Or perhaps simply once the "Purging" value drops below 2 sats/vbyte, it simply ignores it and states a minimum fee of 1 sat/vbyte.
Can I go look for when there will be 1 Satoshi byte?
You can still use
https://mempool.space/, just pay attention to the Memory usage. Once it is less than 300 MB, then low fee transaction will stop being purged. Or you can use
https://jochen-hoenicke.de/queue/#BTC%20(default%20mempool),8h,weight, and just watch for when the 1-2 sat/vbyte band shows up again at the bottom of the graph.
However, waiting for this time and then broadcasting your transaction at 1 sat/vbyte is probably unlikely to achieve very much. Worst case scenario it will just get purged when the mempool fills up again; best case scenario you are waiting weeks for the mempool to empty down to 1 sat/vbyte.