Whilst everyone should heed the opinions and respect the experience of guys who have been in the flying business for a long time, let’s not forget ultimately it is what the airlines (your potential future employers) are looking for that counts.
I come from a part of the world whereby modular flight training is not available. Many aspiring pilots go to independent flying schools to obtain their licences but find difficulty in securing employment. Most airlines here require cadets to go through a recognised integrated flight training course to obtain their ATPL/MPL, which the airlines can have the ability to monitor the progress of the cadets and have oversight of the programme syllabus delivery with the assured standards. This is seen as a necessity for the airlines, to minimise any possible poor training standards that MAY come from other flying schools that the airlines have no affiliation with.
Do your flight training (ATPL or MPL) with an institution which is recognised by the airlines, this will give you the best chance of employment when things pick up eventually.