If absolutely NONE of the line stats are changing then it won't be the DLM resyncing the line. It only resyncs when it's changing the current line profile.
As kitz points out some of the changes made by the DLM are very small, tweaking G.INP values, the amount of error correction or changes to the interleaving depth/delay. Without very detailed line statistics that are only available on certain modem chipsets then you wouldn't notice some of these DLM changes.
It could be an external noise source (machinery, sewage/water pumps, etc) turning on around the same time everyday that is causing the line to resync. It can even be a neighbouring line connecting around the same time each day as that can cause a big enough SNRM drop to knock a line out of sync.
Your new pair will be in a different position within the multipair cable or may even connect back in to a different cable bundle further towards the cabinet, explaining why it's only effecting the new pair and not the old.
Crosstalk and interference can vary considerably between different pairs.
The DLM also no longer has a specific time window that it applies changes. As FTTC take up grew the time window that the DLM made changes to lines gradually grew.
The DLM can change the line profile at pretty much any time of the day now, though it is still overnight most of the time.
Ask your provider for a DLM reset. Some will happily accommodate this while others won't entertain the request if your line is meeting your contracted estimates.
What type of modem are you using? If it's a Broadcom chipset with access to the full Broadcom CLI then I recommend running
DSLStats to capture detailed minute by minute starts off the line. It might catch whatever is causing the resync or might pin point what changes the DLM is making (if it is the DLM).