Like I've said in my previous reply, it's the minimum and being "minimum" means that it's the lowest priority fee rate.

There are times that it's okay like if you do not want  fast confirmation or the average mempool size is low,
but not right now if your transaction is a bit rush.
Refer to the post above for the alternative but I'd suggest to use the 3rd graph instead and look for the range that suits your transaction best.
Eg: Using that site, fee rate at range of <1MB has a good chance to get confirmed in the next block, >1mb for the next and so forth.
Note that the number of newly broadcast transactions and rate of mined blocks can increase/decrease that chance.

Without the latest blocks and transaction in your mempool, the client can't estimate fee rate.
That's when your nodes isn't synced or you're not relaying unconfirmed transactions.