It could be that the milk is filling him up... he is fine to have 20 ozs a day (don't forget formula that you use to make his cereal etc). Would they be willing to give him a small bottle at the designated snack times instead of a bigger one at lunch time.
So it could be like this:
You give him a 7 ozs bottle at home in the morning.
Solids at 830am
4 oz bottle at 10am
Solids at 1130am
4 oz bottle at 2pm
solids at 4pm
Bedtime bottle with you of 5-7 ozs.
This could keep his consumption about the same if you don't want to drop it yet
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