Effectively, yes. Well, you get 1500x more ownership of assets (for \~1500x more the price). The only difference is voting power, but payouts / ownership of the assets is the exact same per dollar invested between A & B.
A basically just gets more power to direct company / what it does / invests in. If you want to invest more into UNH for example - you can suggest the company to do so with more influence if you own A shares over B shares. But EOD both A & B put in equal proportion investments into it. It's kinda like A holds more power to lead the crowd, but both A and B invest equally once they decide what to do.
It makes sense -- I'd rather someone with millions invested have more voting power over someone with $1000 invested. That's really all the difference is.