“What is the problem with this exhibit at the Brooklyn Museum? “
It’s intended to be purposefully disrespectful.
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“As such, Christ is present in each crumb of the host. The paten pictured above is intended to catch a host that slips or a crumb that may have fallen.”
Are you afraid that what you believe to be Christ will get dirty by touching the ground?
This isn't just a Catholic thing. All the churches who believe in the traditional doctrine about Holy Communion take pains to guard the consecrated elements against loss or desecration. Ask the Orthodox sometime what the priest does when the holy gifts fall on the floor.