In SC, miners have zero authority.
But the normal nodes still are the nodes where the business is done... So sure they have some kind of authority...
How? If trusted node considers your transaction or block to be invalid then it never joins the block chain and thus is ignored by the rest of the network much like an orphaned block in Bitcoin except a single person decides what is ophaned and what allowed to enter the blockchain.
For example if you tried to mine a block w/ 32 SC reward (like before the bait and switch) you "could" however that block will never get approved by the control nodes and thus never join the longest blockchain.
No matter what change King RealScam makes your options are a) accept it or b) being blocked permanently by the control nodes. So how exactly do the miners have "authority"? Honestly there is absolutely no need for miners. King RealScam could just setup a faucet and let people signup for ScamCoins.
Some examples to help you think about it.
If King RealScam dropped the block reward to 0 as a miner what could you do about it?
If King RealScam changed 10% wealth transfer (to his wallet) to a 35% wealth transfer what could you do about it?
If King RealScam published a list of "banned addresses" of known traitors to the RealScam Kingdom and your address was one of them and any transaction involving a banned address was blocked by the control nodes what could you do about it?
If King RealScam decided he didn't have enough coins and decided that block 10,000 would have a "one time" block reward of 10 million ScamCoins paid to him what could you do about it?
Think about those and then tell me what authority you have.