You can also use swing to delay all trigs.
Select all swing trigs of all tracks > add swing holding Fn.
Edit : ah yes for rec trigs, microtiming.
Eventually use Audio Editor if the recorded loop is ok. Select the beginning and use ROTATE POS TO START to shift the audio.
There’s a delay compensate option, but it doesn’t seem useful here.
DELAY COMPENSATE will when activated introduce a very short delay to the audio signal listened to via the DIR setting. If for example an audio signal is listened to through both the DIR input and a Thru machine/Pickup machine, both signals will then be in sync. If DELAY COMPENSATE would have been deactivated in the above scenario, the delay caused by the internal processing would make the audio signal routed to the Thru/Pickup machine play a few milliseconds later than the DIR signal. The combined DIR and Thru/Pickup signal would then exhibit a slightly phased sound.