bitcoinfees.earn.com is known to have a horrible fee estimation.
Usually they overestimate the fee (e.g. recommending 100 sat/vB when 4 would be enough to get a confirmation in the next block).
The fact that they are currently recommending 2 sat/vB, for a "
fast and cheap" transaction, probably just means that this is a temporary bug.
However, i'd always advise to
not use that site to choose a fee. The estimation almost always is extremely bad.
You are better off checking
https://core.jochen-hoenicke.de/queue/#0,2h and using the 3rd graph to check the mempool. Then choose a fee at roughly 0.5MB to 1MB from the tip to get a (very) fast confirmation.
I do not get your point, if bitcoin fee is wrong, then what is the fee displayed on earn.com that is very low which is 2 satoshi/vbyte above? Is it not still bitcoin fee?
OP just meant that they estimate the fee wrong. 2 sat/vB won't get you confirmed within a few blocks, which "
fast" would indicate.