These days, if you are looking to build a "niche" business with $10 million a year in sales, I think you'll have absolutely no competition from VCs. If you're looking at $100 million a year in sales, I think you'll butt up against the "failed" VC funded companies. And larger than that, I suspect you'll be getting quite a lot of competition.
There are definitely angels who will fund smaller projects, but I think you still have to show an open ended potential. For example, I worked with one startup that had only $100K seed money and was looking for a quick $3-5 million exit. I've never actually seen any of these be successful, because $100K represents only a year of development costs, so companies usually reimplement good ideas in house.
Again, I'm not an expert in this area, but I have always thought that bootstrapping a sustainable business has been hugely undervalued for the last 20 years or so. Everybody is so focused on putting hundreds of millions in their pockets that they turn their noses up at mere millions. Lots of opportunity in this space.
Or are companies who seem to be on that trajectory avoided by seed investors even when the fundamentals look good?
Source: small-to-medium non-SF VC.