the reason the electoral college exists is because the founders wanted to avoid the supposed possible 'tyranny of the masses' and sometimes ignorance of the general populace. They didn't trust the population 100% so they wanted put some barrier up. They considered having Congress pick the prezzie, then maybe the state legislatures, and then created the Electoral college. It had nothing to do with big cities. Some analysts state they believe the electoral college did end up benefiting rural areas a bit, though that is debatable, and it wasn't a primary concern of the creators.
But regardless why, what you claim just hasn't played out in the actual elections - the vast majority of presidents, Republican and Democrat alike, have won the electoral AND popular vote. Only 5 times in all of US history has it happened that the president won while still losing the popular vote - Trump now, Bush in 2000 and then three times in the 1800's. In your world it would be happening all the time.
If your theory was right then those 5+ large major democratic cities would have given the popular vote in a whole bunch of elections to the Democrat over the last 200+ years. That simply hasn't happened. Again in the last 120 years or so it's happened TWICE. And think about how close those elections were - Hillary won by just 200,000 votes out of nearly 120 MILLION counted. Using your logic, she should have dominated the popular vote with those liberal cities having so much influence. Gore would have won by just 500,000 votes out of just over 100 million counted. Again, zero popular vote domination by the cities you claim. Them shits was still close.
Claim rated: FALSE