Guys, is there a significant delay difference in using an analog or digital chain?

I mean, for simplicity and practical reasons I never used the exact same setup for measurements and listening, it was:
Phone > digit > dac > analog > apl > analog > ms8 (listening)
---------------- Laptop > analog > apl > analog > ms8 (measurements)
The difference was only the dac delay (if any)

But now the plan is to use full digital to the C-dsp:
Phone > digit > airport express and/or icon ido > digit > apl > digit > cdsp
------------------------------------------------- laptop > analog > apl > digit > cdsp

So bigger difference in chain, might have more impact, should I bother about that?