As the question was asked on a traditionalist Catholic forum and given the generally well-known attitude of this forum toward the councilor church and the 1983 Code of Canon Law, one would assume that the OP was asking what the traditional discipline would be. I can just look at my parish calendar (I realize that it is not politically correct here to have a parish calendar, as opposed to a traditional chapel calendar) and know that the abstinence is dispensed today following "post VII norms" (for lack of a better phrase), as there is no fish symbol. Many of my acquaintance, and myself, will continue to abstain. Some will also continue to fast if that is part of their Lenten discipline.
I do believe that it was well docuмented from actual sources that the traditional discipline is to abstain, and to fast for those healthy and in the appropriate age range), even though today is a first-class feast with white vestments. Those who opinioned that neither abstinence nor fasting is required today offered no source or justification for their opinion.