Mining nothing but the lowest Gas priced transactions. Is it possible ?

An experiment described here

shows that no transaction defining a gas price under a certain threshold (18 shannon in this test) was processed by the network due to miner configuration settings.

My question is: what would happen if I start mining and set the gas price that I accept to say 1 shannon (or even lower if possible). Will I get all the transactions that nobody else wants to process?
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