Pesture lands can be changed to farms, and productivity can always be increased by various methods. In the end, lands are what we want them to be ;) Assume all lands are completely utilized, more grass lands would mean less farm lands and less food output.
Not much, but they certainly require less than an army of heavy cavalry formed by settled people.
The cost still exists, since the nobles in sedentary society could do productive things such as governing cities or operating trades. And I doubt the cost to feed those nobles would be any cheaper than to feed professional armies of humble origins.
But you'd have to pay them - mercenary HAs can never as cheap as native HAs to the nomads.
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