The whole issue does not apply much to a foreign spouse. It is the Filipino Citizen that is required by the Philippine Government to report an overseas marriage. What the foreign spouse does is not much concern to the Philippine government and they have no jurisdiction over a foreign spouse outside the Philippines.
My own opinion is this. If the neither of you have plans for maintaining significant ties to the Philippines then it probably makes little difference. If you feel that your marriage is likely to end in divorce then it is very beneficial to the Filipino Citizen spouse NOT to file it. If either of you ever think of retiring there, having a bank account there, drivers licence, business, property, etc etc etc, it will be an issue that could constantly come up at every dealing with the Philippine Government and it is probably easier just to file it. Plus, juggling multiple names on multiple travel documents is doable but kind of a hassle.