While it's not wrong to be cynical about it, this isn't exactly the right reason. The Nazis would just take over companies and install new leadership if they were inadequately supportive.
It's not even "if I don't do it, someone else will, so I may as well do it". A lot of people did refuse to do it and were arrested or fired.
Beyond that, everyone involved in the decision is dead now. They could have all been Nazis and that would have little bearing on if the people who work there now were.

The reason to be cynical is because companies can't care about things, so if they say they do it's a lie.
People inside the company might care, and might find a way to get the company to do something good, but that's a person finding a way to use the company for good, not the company caring or being good.

Unlike the Nazis, no one is forcing them to embrace pride. They do it because they think it's a profitable demographic.