Imagine a scenario where everyone is taxed, say, 10%. Then, the government introduces an extra tax of 10%, for a total of 20%, and then gives everyone a tax exemption, so that everyone pays 10% after all, just like before. Is the new tax exemption an "implicit subsidy"? Do people feel subsidized by not having to pay extra 10% on top of 10% they already pay? No, at best they are grateful that they are losing less money to a bully.
Now, imagine we start from 0%, and again introduce a new tax of 10%, and a new exemption, so that nobody actually pays any tax after all. Again, in this no tax world, is the government "subsidizing" everyone? No, that's not what the word "subsidize" mean.