I noticed the same problem yesterday when searching for SFO-AKL awards. AA.com showed saaver availability for almost every day in Feb. and Mar. 2017.
But on closer (& tedious!) examination, there were ZERO actual biz or first awards available.
AA.com was perfectly happy to sell me a one-way A ticket for 110K miles or U for 80K where only the first 1 hour flight SFO-LAX was in F ... all the other flights via SYD, MEL or BNE were in economy. Ditto for the return trip.
One could spend many hours looking thru every date to find which days had real premium availability, but I gave up after one hour and not finding any.
Frankly, I think this is fraudulent marketing by AA!
p.s. EF saves some time, but the result is the same, ZERO actual premium availability. But at least EF doesn't deliberately lie & cheat like aa.com does.