I think that bitcoin cycles are already largely diminished, therefore the price dynamics will follow a random trajectory with a trend up, but we are not going to get an average of 200% per year anymore (maybe 50-100%).
I, too, a few months back suggested that the halvings are getting less and less relevant. Of course I didn't have this insight myself - it's something I read during the 2017 bull run. I got picked by a few fellow WOers, and there was a little discussion - quite civilized actually, no flame wars. After all that, however, I'm still not sure how "relevant" the last halving is going to be.
I definitely agree with this: over time as more coins are minted the relative impact of the halving reduces and so I think it is reasonable to expect the effect of the halving to reduce over time - probably resulting in lower peaks and a "rounder" more smoothed top.
If you consider in the first epoch, 10.5 million coins were issued.
In the second epoch, half that, so 5.25 million - but that is still roughly a third of the whole available supply (total 15.75 million). Accordingly the impact of the first halving was large.
In the third epoch, half again so 2.625 million coins, 14% of the available supply (18.375 million)
In the fourth epoch (ie where we are now) 1.312 million coins will be issued, by the next halving that will amount to just 7% of the available supply (19.687 million).
So as each halving occurs its influence on the total supply will get smaller and smaller and so I would expect we will see a steady smoothing out of the halving impact, like a wave decaying over time.