Maybe it's not the Pledge but the Affirmation. They can't tell me exactly which one. One has God the other has none. But also is has to do with UK law. None has written that it is taking away your other nationality nor renouncing it before taking the Pledge or Oath.

PHILIPPINE IMMIGRATIONS:
New rules on dual citizenship:Under the law, Filipinos who became, or are intending to become naturalized citizens of other countries, have not lost their Philippine citizenship. According to Mr. Fernandez, a Filipino who presents a foreign passport shall only be given an indefinite stay in the country if he or she can show a valid Philippine passport or a certificate from the BI as proof of dual citizenship.