If the ECB more or less follows the Fed in its monetary policy that does not mean that EUR/USD will not receive any momentum any longer. Just from a different angle. Because equal monetary policies under different circumstances (inflation, growth, etc.) have different effects.

However, medium-term our EUR/USD projections are nonetheless based on the difference between Fed and ECB: our central bank watchers project that the Fed will soon cut its interest rates again, whereas the ECB will keep rates at the terminal levels for the foreseeable future. That would clearly be EUR-positive.