Flecc, is slightly incorrect.
The EU Parliament can sack the President of the Commission..however in doing so, they also sack or remove the portfolios of all the other Commissioners. This is logical because the other Commissioners are recommended into their posts by the President,and then ratified by the Parliament. They could then request the European Council to recommend another Presidential candidate, who could then recommend the existing Commissioners again.
There is other levels of oversight. The 27 Heads of Government of the member states form the European Council, and they elect a President of the Council. .. this person, who serves for 2.5 years is the individual to whom the President of the Commission reports ,and I suspect signed their letter of appointment.
In terms of governance, the best way to look at it as .
The European Council is the ultimate Board of Directors, with the President of the Council the Chair. I strongly suspect that if the President of the Council ,acting with a consensus of the Council, had a quiet word with the President of the Commission , they would resign.
The Commissioners are the Heads of executive departments and the President of the Commission the CEO.
The Commission is responsible to the Parliament or the Works Committee.
The Works Committee is directly elected by the membership..us EU citizens, and the Board of Directors also elected via their national elections.
So yes as a person with a vote into both the works committee and Board of Directors, ..no matter how diluted, I think its OK.