When giving a company like Intel money, you could give that in exchange for part of the company or for the company to do something for you.

For example, the US could give Intel $8B for about 4% of Intel (at today's market price). However, that wouldn't get them the new US chip fab that they want. It would get them 4% ownership of Intel.

Another example, the US could give Intel money to build them a supercomputer. The US would get a supercomputer, but it wouldn't get any ownership of Intel. When I buy Intel processors, I get a product, but no ownership of the company.

In this case, the US wants to buy a product: a US based fab. You might say "but the fab benefits Intel." You're totally right, but when I buy Intel processors it gives Intel capital they'll use for their benefit as well.

The real question is whether the US is overpaying for this fab or if the fab is even worth it. Could the US have gotten the product it wants cheaper? Is having new US based fabs worth paying for?

I think the answer to the latter is a resounding "yes" for strategic reasons. Tens of billions is a tiny drop in the bucket to help ensure something bad doesn't happen to one of the most important industries to US prosperity. We spend $850B/year on the military to try to ensure continued US security and prosperity. Giving Intel $8B is probably a bargain by comparison. Likewise, if you hate that Intel is being given $8B, you'll really hate how much Boeing, Lockheed, Raytheon, Northrop, and General Dynamics get from the government.

Sure, the US could have required Intel stock as part of the deal, but depending on the amount of stock, Intel would have likely rejected it. Should the US have offered $11-12B for 2% of Intel plus a US fab? If that's the case, why doesn't the US government simply buy stock in Intel today?

If your argument is that the US should end up with 20% of Intel for that cash, Intel would reject it. That's giving Intel a tiny fraction of what their stock is worth - 20% of Intel is worth $38B. If the government wanted to nationalize Intel, it'd probably cost them $210-250B. The government isn't just allowed to take something without just compensation. While Intel's market price is $188B, usually buying a whole company involves having to pay a premium over that.

The US has taken ownership stakes in companies in some scenarios. For example, the bank "bailouts" gave the US preferred stock with a dividend rate of 5% that would climb to 9% from 2008-2013. The government also got warrants to purchase common stock at a very low price. Recipients generally repaid what they were given and the government made billions off the stock warrants. In the case of the bank "bailouts", the government was giving the banks money to help save the banks and demanded ownership in return.

By contrast, Intel doesn't need help. The US government wants to get Intel to do something; the government wants to pay Intel to make them a product. Maybe the government could have gotten a better deal than $8B. However, given that few companies could legitimately create modern fabs and given that even companies like TSMC have been having difficulty at creating fabs in the US, $8B doesn't seem like a crazy amount of money to be offering as a carrot. It looks like the US is also spending $6B on Samsung and $5B on TSMC to get them to build fabs here.

If the US wanted ownership and a new fab, it would cost more than $8B. If the US wanted a new fab plus 10% of Intel, it'd likely cost them $25-30B.