There is little to no material difference between Modular and Integrated training done at a FTO that provides both options e.g. CABAIR, OATS.
In fact if you did them back to back I would not let potential employers labor under the impression you did the integrated course. Your logbook and exam dates will support this idea.
I see no advantage to the Integrated course other than continuity of class mates.
(I used to instruct on an integrated course in Jerez)
Good luck,
WWW
ps I would not rush as the moment to get all your licenses and ratings. A 6 month delay might be wise as the market for jobs is very oversupplied at present.