Individuals can reduce the demand for meat and the industry will follow.

It is always up to individuals to reduce our carbon footprint. Industrie is run by people, as are governments. They are not some artifical inteligence ruling over all humans. What you are doing is basicly throwing away your agency and hoping some miricale happens.

If you go vegan your carbon footprint drops by about 1t of CO2 compared to the average Western diet. That is a fairly large impact for something, which is pretty reasonable to do. The other big impact things to do is to stop flying, give up your car and change your home heating system. Those all are able to reduce your carbon footprint by a ton or so, compared to the average Western one. That means for your average European, you just halfed your emissions, by four choices, which are all somewhat possible.

For other stuff you are going to need to blaim industry and government. Even for some of the ones I mentioned above, like building proper hsr to avoid flights and so forth. Similar story with the electricity grid and so forth. However you do have the responsibility to work to fix the problems in your area of expertise. As an example it is unreasonable for the average guy on the street to be able to only buy plastic free tooth brushes. They are somewhat hard to find and pretty expensive, while having a low impact. But if you are a toothbrush designer it is your responsibiltiy to work towards creating a good, cheap and sustainable tooth brush. Everybody has their area of expertise, but it is foolish to expect things are not solved by humans in the end.

Why not both?

then stop giving the industries your money, when you can

This is a "yes and" thing. The main thing is not to guilt yourself over it. It's hard to make a change, but every positive change is just positive full stop. Try and have a vegetarian breakfast. When you're managing that, try and have meat once a day. Just keep on doing little things. Yes, also vote, the vast majority of emissions happen due to what happens at the ballot box, but every little bit counts if you think of it positively rather than negatively.

I think that's where the "it's the industry's fault" bit comes from. It's not you personally who have to make all of the changes, but you can make some changes and it's a positive thing.