Hello, an interesting discussion!
Have you considered that, rather than being the
measure of change, that time is a product of change.
Physical change does not happen 'in an instant' - it has a duration and we perceive the accumulation of change, as time passing.
Consder, if we had a volume of space that was completely empty, a perfect vacuum, then would time pass within that space?
If there was nothing there to change and, therefore no change happened, could we say that any time passed?
Take this a step further; if we had a body in that space, a totally inert body (this is a thought experiment, so I can stipulate a body with no motion whatever, not even atomic or sub-atomic motion) then, if it never changed, would time pass in that space?
And a further step;

if we had a space that was subject to only very occasional change would time pass more slowly? Is the 'passage of time' subject to the prevailing conditions? Thanks to Einstein, and others, the answer has to be a resounding 'Yes'; but does that mean that 'time' is variable or merely, that it is the conditions under which we measure it, that affect the measurements?
If the rate of change is subject to the 'conditions' under which it happens, then we might assume that there was a 'normal' rate for the passage of time, or, more probably, different rates that prevail, under different sets of circumstances.
From this one might conclude that measurement under different circumstances would lead to different results, i.e. changing the circumstances of measurement might give cause for belief that time was passing differently, when it is the measurement that has changed, not the passage of time itself.
Hence an effect like time dilation occurrs. We know that it is only a perceived effect, as in the rest frame of the moving body, the measurement of time is still 'propertime'.
Grimble
