IMO there are 2 completely different concepts of Time, of what you could call: Abstract Time and Clock Time.
Abstarct Time is equivalent with the concept NOW. This concept of time, this NOW, is the same, has the same value, throughout the total universe. Independent of any human influence.
Abstract Time, also to be written as Time, is a characteristic of the physical reality or world in which we live. In that world the concept NOW identifies the present physical state of the universe. We can also define the past, which is a description of the state of the universe which has happened and the future which is a predicted state of the universe which will happen.
We can give the present, this NOW, a value. That means that (the collection of) all the events happening NOW, are simultaneous events. That implies that all the events that happened earlier or that will happen in the future are not simultaneous with this collection.
Clock Time is the time we read on any clock. Compared to Abstract Time, Clock Time is a physical concept because any clock is physical device, constrained by physical limitations. Typical physical limitations are wear and tear. As such clocks should only be used with care Specific relative moving clocks should not be used and all clocks, in use, should be considered at rest.