My honest opinion? YES, this is absolutely misleading to the public and it drives me nuts. And this is why I tell ALL consumers to rely on their REALTOR's info (who has access to the MLS).
People think they can just do their own searches here, but that's not the case. And these sites make us agents look bad when we've sold a listing, but it's still showing as active here.
These sites are notoriously inaccurate. Trust your REALTOR. He/she has access to the MOST updated info.