It's not a matter of choosing between absolute (objective) or relative (subjetive) time, since both types of time coexist simultaneously.
There's the objective time of Quantum mechanics, in which all the lightlike interactions that shape reality take place at once throughout the entire universe, and the subjective time of Relativity, in which every observer constructs its subjective notions of distance and duration (forgeable spacetime), based on the subset of interactions it's able to detect.
All the lightlike interactions that crisscross spacetime connecting a present detection event to a past emission event create the present moment of the universe, and the complex entities that populate it (just groupings of closely packed interactions) can analyze the interactions that form their internal structures (their sensing, memory, processing and actuation capabilities), that, in turn, define all other spacetime related concepts (past, future, causality, time flow, energy, propagation, evolution, motion, spatial curvature, location...) and shape the properties that define their existence, and those of all other external phenomena they can detect in the environment.
There's nothing more to physics than this eternal dance of the instant (but lightlike) interactions that shape the present each time. All past history of the universe is evaluated again and again in the present, and it conditions (but doesn't force) which interactions can unfold, giving shape to all entities and processes we can observe exist in reality.