The device you are using MUST fully aerate the test samples to get alk by pH. If that process is incomplete for any reason, then it will report higher alk at higher pH, even if alk is steady. The higher the pH peak, the more it will be off at that peak.
Dosing carbonate instead of bicarbonate raises the pH (as you found), so if your device does not fully aerate the samples it is testing, the switch to carbonate will give false high alk readings when the pH is highest.
Remember, the alk effect day to night you are seeing is fairly small.