Interesting one! I have not heard this before.
Just so I am clear, you want this button, to remove any selections in the table below?
And just so we delink the opinionated UI requirement from the outcome - we want a simple way to quickly remove selections? Would an ability to clear selection also meet this need?
I am just thinking, some use cases we have seen the desired to do multiple searches and multiple selections, so resetting search should not clear in that scenario.
Maybe it should be configurable, maybe it should be clearer - just trying to dive deeper into why you want the reset specifically? (otherwise @Kamil_Janeczek would not get his Uncovering the XY problem credits 
)