There are no parts in there that need to have had 3 weeks of being 'switched on' to reach 'full potential'.
If that were the case building measurement equipment would be a real pain.
There are no 'special' parts in there that 'require' several weeks of 'forming' that are not used in other DACs as far as I can see.
What is possible is that there is a broken component in there. For instance a ceramic capacitor in the post filter.
The problem however is that such a part would need to fail in a way that is extremely unlike to fail in that manner.
That capacitor would have to have had a higher capacitance (failed) and later on started to work properly.
IF that were possible at all the FR would not change in this particular way.
Firmware and software in chips are not known to fail in the way you describe and do not need 'burn-in'
The majority of signal in a DAC are digital.
Another possible thing could be something was up in the power supply and a ripple was present at a higher frequency.
However, capacitors do not need a few weeks to 'form' and do not suddenly start to function 'better' after weeks.
Not many people will use a multimeter and submit that as proof. You have been told this before. Certainly not when measuring such small voltages and then not even considering the last digit is always +/-1.
When you measure FR you need a good ADC (and even these are tricky) not a measurement device that is almost 5dB 'off' by itself and only measure up to 10kHz. In 1kHz increments no less.
It looks like you measured the X16 twice only. One time shortly after you got it and heard (needs to be substantial to hear) it sounded off and the second time 3 weeks later.
It looks like you are 'looking' for something to blame because you heard something. Differences you thought you heard as you have been going around with audible differences between KTB and E30 before.
Several people with electronics knowledge have indulged you and gave pointers on how to measure and whenever you discovered something have replied with patience.
I know you want to validate your hearing with tools you are not very familiar with and are either not up to the task or used incorrectly.
If what you said is really an issue people that have measured DACs/ADC's etc. surely would have found this.
In fact Amir did show 'warming up' effects but these do not suddenly disappear after a few weeks. They happen every time you switch them on while not being on operational temperatures.
So the problem is only 2 measurements and possible a perception issue and maybe a defective device that somehow 'fixed' itself within a few weeks. And only by 0.1dB max and different (and not logically) at various frequencies at that in ways not known to folks having experience with electronics for decades.
So far I have heard one person returned x16 because it sounded like blanket over speakers
For this to be audible (he didn't measure it so can be anecdotal only) you would need several dB's roll-off in the highs, Not 0.01 to 0.09dB differing in the 2kHz to 10kHz range only.
I would suggest to return the X16 and have it replaced. Then on reception of a new one put it on a proper FR measurement from the start.
Then listen to it to hear if this one is off too.
Then reconnect it to the measurement chain (= NOT a multimeter) and take plots at increasing time intervals over the course of weeks.
Then you can research and prove 'burn-in' of the X16. Not the way you handled it so far.