It's up to each company's interview process to weed out the people who aren't likely to add value. Offering more would simply increase the company's available p

It's up to each company's interview process to weed out the people who aren't likely to add value. Offering more would simply increase the company's available pool of employees. Put another way, the set of people who would work for you at $x is a subset (generally) of the set of people who would work for you at $y > $x