No.
1. You MUST have a CNI issued buy the British Embassy. This is a requirement of Philippine law. Period
2. SOME authorities that issue a Marriage Licence may ask the foreign partner to submit a CENOMAR.
Philippine law puts a significant responsibility upon the Marriage licence issuing authority to make sure that the marriage will be valid
The CNI will indicate UK 'singleness' - ONLY
The CENOMAR will indicate Philippine 'singleness'
If the NSO records show you are NOT free to marry then you'll need to get that sorted out.
It's not a major issue for you with the Decree Absolute issued.
But if the authorities who will issue the marriage licenece where you will marry want to see your CENOMAR then you'll need to comply. You don't need judicial recognition.
Either you or your fiancee need to do some homework. It's entirely dependent on the Marriage Licence issue in the area