Wrong. Theoretically under capitalism choices would exist if there was sufficient demand for other choices.
Correct, which is why there is very little choice under capitalism, and in fact the practical effect of capitalism is similar to communism - huge, monolithic organizations and very little choice for the individual. Just look at the architecture - compare the american strip mall to the Soviet apartment block!
The chances of getting exactly what you want go down significantly with socialism, and don't exist with communism.