A wise man once said "Entrepreneurs are problem solvers" usually looking for new ways and solutions to both existing and newly discovered problems. So, the word innovation and entrepreneurship work hand in hand and cannot be put separately
I think you have spoken so well about entrepreneur and business but the perspective in which I see it it's quite different from your point of view which I'll clearly state out mine as well to contribute to your opinion, and to clearly state that the both can be put separately let me explain it in this context.An entrepreneur is an individual that owns a business, it could be small scale or large scale depending on the type of business tho, then talking about business is just like an entity that involves the sale of goods and services, it's majorly categorizes products and the services rendered and it's an entrepreneur that involves in business whereas we all know the are strategic problem solver's that look for possible ways to make profits for the business they run.