== This issue simply must take a back seat to bigger problems in America.==
What if labor rights is actually the single biggest problem that drives all the others?
I can think of things like a higher minimum wage, paid sick leave, anti-discrimination in hiring, maternity/paternity leave, and guaranteed PTO that could be helped by unionization to make us a stronger country, collectively.
Restaurants are outsourcing the delivery to these companies. Many of the restaurants near me never offered delivery until Grubhub, Uber Eats, etc. allowed them to at little cost. The reason they didn't offer delivery before these options is exactly because of the economics of doing so.
It may turn out that the economics of the technology-middle-man aren't sustainable either. In which case they will have to decide between managing deliveries in-house or stopping deliveries.
I'm not going to do the leg work to validate unsourced claims that you made, but I will assume you don't have kids based on your comments.
It's possible that things are more complex than you suggest (or realize). One simple example is the typical start/end time for school. In Houston (a random example, but a very large school district), this is the school schedule [1]:
* 7:30 a.m. - 2:50 p.m. for elementary schools and K-8 campuses
How well does that schedule fit with a typical job?
==If everyone in a city is already competing for a limited housing supply and suddenly everyone has an extra $1000 per month, I wouldn't be surprised if the cheapest housing costs suddenly increased by nearly $1000 per month.==
If we accept this logic as true, wouldn't it incentivize builders to increase housing supply? They would want to capture those higher rents and prices, right?
Unions could absolutely have an impact on racial discrimination and wealth disparities.