But actually, tariffs have been 10-25% anyway for a number of years. So for existing products, some tariff cost was already included in that $7 total tariff cost. So, for existing products, the cost may go up ~$3.50 and our customer would sell it for ~$83.50 and the actual increase consumers would see is ~ 4.5% increase.
Now, this is a typical pricing scenario for our USA customers, they are selling individual products that cost $20 in China at volume, in USA at retail for ~3x-5x the per unit purchase cost from China, this is quite common. Now, the USA customer must buy ~5000pcs to get that $20 USD unit cost, while consumers get to buy only 1pcs and pay $87 USD, whether or not that is fair pricing given the risks and R&D costs, that's just the reality. Anyway, I'm not sure of the ex-works cost of shoes, but I'm highly confident big brands like Nike sell them for at least 5X the ex-works cost. So the math would be similar.
But in this case the price increase is already due to the government putting its thumb on the scale. The best way to reduce the price is not via the Rube Goldberg interest rate mechanism to shrink spending and thus demand for the $60 shoe, but by removing the tariff and make it a $30 shoe immediately.
They don't make policy and they go out of their way to not comment on policy. They say they are apolitical (though of course they are 100% pro-establishment).
If the entire government was working together, yeah, sure, your theory holds. But that isn't how things work.
If the purchase costs for a good suddenly increase, retailers will increase prices very quickly because they would otherwise start losing money very quickly.
If demand for goods decreases, that doesn't affect the retailer's cost of goods at all, and if they were to reduce their prices, they'd eliminate their thin margins. From their perspective, it's better to sit on inventory for a while.
So any downward pressure on prices would happen much more slowly.
BTW, this kind of asymmetry is why a bit of inflation is good, actually. Inflation acts as a universal and permanent downward pressure on (real) prices, in the sense that if retailers and others are unable to justify an increase in nominal prices to their customers, their real prices will drop.