To answer your question, no. When I started working at the firm I made $10/hour. I make more now because I got a raise and I've been there for a couple of years. My coworkers make more than that, I can only assume because most of them have more experience and have been with the firm for a long while (4 years or more) whereas I've been with it for about 2 years. We're a firm of about 8 people in all
Before you go any further understand what I was making my point about... I think either you got confused or I wasn't very clear (possibly the latter

)
I was talking about the idea of the minimum wage going up during an economic downturn. The concern I was highlighting is that my job is an architecture firm. It relies on the realestate and construction activity for a stable flow of projects from clients.
The flow of work from this industry varies with the state of the economy, and when it's doing well we have lots of work. That's our current situation. Raising the minimum wage right now probably wouldn't change things too radically. I for example was already paid above the current minimum when I started.
On the other hand, I've also been in this industry when the economy tanked. My first job was between 2007 and 2008 right around the time the economy went to pots. And it was still kinda slow when I started with my current job. When nobody is giving you projects in this field, you have no cash flow, as it is. I was one of the people that got laid off literally because they had nothing for me to do and they were having to pay for me being there, that's how bad it got when the recession was just beginning.
Add a hike in the minimum wage to during that time and I could understand why some people would complain about it.
The firm is owned by an individual who participates in the firm very heavily and is usually proficient in getting clients. The impact of the recession forced him to reduce the weekly hours to 4 days a week for a time. And I've seen the project history. There was a very clear correlation between the recession and the amount of work that came in which is why I brought up my experience in the first place. I doubt a minimum wage hike during the recession would have helped him much back then other than to discourage hiring.
That's not to say we shouldn't raise it, I don't have every much of an opinion about it except that I do have reservations about doing it at the wrong time.
ETA: I weathered most of the downturn myself mostly because at the time I was finishing college and didn't have time to hold a job. But anecdotally many of classmates had said they had a lot of trouble getting work between 2008 and 2011 when I graduated. I had trouble initially in late 2011 finidng work too but not "as-bad" as when I got laid off