That's hardly a 'choice', it's the companies realizing they have a worker pool they can exploit that will take pennies on the dollar.
Seattle is saying, "No, if you are providing work in this city, you will abide by minimum wage standards like any other employer."
If you raise the price of cigarettes, people buy fewer cigarettes. If you raise the price of gasoline, people buy less gasoline. If you raise the price of labor, people (both companies and individuals) buy less labor. If the price of Uber/Lyft increases, the number of rides will decrease. That means that drivers will be forced to work fewer hours or to find another job. But if (as you say) this is the only alternative they have to homelessness, then they'll become homeless.
It's not like there's reason to believe that the ride-sharing market is extremely competitive, in many regions it's mostly Uber + Lyft.
If people are making more money, they are spending more money
And the industrialists who were forced to stop employing children in their factories.
And the owners who were forced to grant weekends and 8 hour workdays.
We have a long history of protecting workers from exploitation in this country. The weekend, prohibitions on child labor, OSHA standards, PPE, minimum wages, payment in US dollars, anti-discrimination laws, coverage for accidents on site, leaves for illness, etc. etc. etc.
Goal: help people by increasing the amount of money they have
Politician A: I’m going to help people by increasing taxes and increasing cash given to people
Politician B: I’m going to help people by forcing business to increase pay and therefore keep taxes low.
Voters will choose politician B.
Same thing with higher education:
Politician A: I will help students by funding universities and keeping tuition low, but have to raise taxes.
Politician B: I will help students by increasing the amount of debt they can load up on and I will cut taxes by reducing funding for universities.
Politician B gets elected again.