No, not at all! That's exactly the difference. Acquiring e.g. 2.1 million Bitcoin will give you no power over the network, will not allow you to mint new coins and won't allow you to decide who enters the network or not.
In contrast, acquiring 10% of capped PoS coin will basically give you 10% of the hashrate forever, how BlackHatCoiner nicely put it. Whereas owning a warehouse of GPUs which in 2009 would have represented 10% of the hashrate (voting power, coin minting), just a few years later was negligible. Today, a ~10W USB stick ASIC can probably outperform an entire such warehouse. So the ones who 'invested early' (into hashrate) don't get anything anymore out of it right now, whereas in PoS that would be the case.