There are several possible fixes: Auction visas with a high minimum. Disallow contracting-out workers on visas. Etc. It's a system that would be easy to fix at zero cost, and maybe even could be made into a source of revenue.
There should be some sort of approval process from an institution or firm that does not have a conflict of interest with the firms applying for H1-B Visas.
Competition only increases efficiency if the price of a good is currently inflated.
Labor is likely under-priced as a good relative to other expenditures, like property and the means to production, so an increase in competition for jobs does not necessarily equate to a more highly functioning society.
In any case, for a given good if there is any profit at all being made (which...well, there should be otherwise the producers wouldn't exist) then the price of the good is (I will borrow your language) "inflated" and has room for competition to be brought down.
There's a lot of stuff wrong with your claims, I don't know where to begin...
Now, to loop back around to your point about investment; either party having additional capital will allow that party to further invest.
That is true in the case of formalized businesses, like the ones your thinking about, who can further invest in capital goods.
However, it's also true of more informal businesses that you're ignoring, specifically, the employed individuals themselves.
Employees are in the business of services -- they perform some labor, be it mental or physical, and are paid for that labor. Formalized businesses are their customer.
Profits that those employees obtain are also capital which can be invested -- whether that investment is in their health, their happiness, their residences, their educations, buying tools, the stock market, creating new businesses, affording time to raise and educate their children, and so on.
Theories of economics which ignore that the employed are also themselves informal businesses are disjointed, and fail to explain the totality of economic growth and investment.