I think you are pretending to be obtuse. Wealthy people can afford to lobby congress, poor people cannot. Congress (has a whole) rarely does squat unless they are paid to do so. Most, if not all lobbying is controlled by wealthy people. Not all wealthy people control lobbying efforts.
Therefore, when 90% of the workforce is not needed, people who can afford to lobby congress (wealthy) will assuredly continue to lobby congress to ensure that the laws to deal with that problem don't affect their interests negatively. Paying what is essentially social security for everyone isn't going to be cheap. Paying 150 million people (approx workforce) $1000 a month would cost $1,800,000,000,000 a year, and that probably won't be enough.
This is not limited to the GOP and there is a ton of historical evidence of this. The middle class has been stagnant since Reagan. Globalization, trade agreements, ignoring the minimum wage limits, increasing visa limits, not prosecuting employers who use illegal labor, weakening of unions, not allowing the government to bargain on drugs they purchase through tax dollars, not allowing people to buy drugs from other countries, extending copyright monopoly durations, etc. None of those things help the middle class, they only help the corporations and people who lobbied congress.
Here is a list of the top 20 lobbying groups / people. I cannot see of any (except the AARP) that has citizens interest's in mind when they lobby. I certainly don't see any who would lobby to increase their taxes to support a living wage. These organizations are all controlled by wealthy people.
https://www.opensecrets.org/lobby/top.php?indexType=s
In short, wealthy people and organizations lobby congress because they are the only ones who can afford to.