Buiness Car lease help..

So i got my corp approved for a car lease, with out signing for it.
here is what i have

honda is approving at standard lease rate not the better. rate
they tell me to get a lower payment they have to raise the price of the car
then buy down the lease rate.So now I'm left with thinking did honda approve
the better rate and they are doing this to get a extra grand out of me?
any know how this stuff works?

Honda's approval

$34,650.00
0.00155
.50 residual
1,000.00 cash down
560.29 payment


35750.00
0.00048
.50 residual
1,000.00 cash down
530.11 payment