No, they won't.
The people paid the most will be those highest skilled, or those that can or are willing to do a job that no other can, or there is a lot less competition for. This makes them the most important to private sector employers/ company owners, as this makes them the most money/ or keeps them afloat. The guy at the top on 200k might be one of a kind, and irreplaceable, the 10 guys on 20k are crucial, but easily replaced. That one guy on 200k is paying more in tax than 40 guys on 20k.
You need the option to earn more to give the best something to aim for, if there's nothing to aim for then the best don't try, and everyone ends up worse off.
Just because someone is on good money does not make them a tax dodger, just because someone is paid $hit doesn't mean they pay all their tax.
Even as a Labour voter I realise we need those that are on high pay, people just don't like to admit it. If there were no private companies and the government or local councils ran everything then the uk would be broke within a year.