Madness!
Why is there so much debate on this subject? It seems to be down to oneupmanship rather than reasonable debate.
Now I'm going to go into a preechy ramble but...
Part of the requirement of pilots is to make difficult decisions quickly. These decisions must be made upon available facts and the circumstances.
The choices we all make in life are difficult and the results often depend on perception/personality. One point that everyone has missed is actually the most important!
It's the point regarding Happiness.
This is not simply a hippy statement. If you are happy learning then the quality of the experience will be of further benefit to you.
You should choose which ever course you feel happiest doing and the only way you will know is by taking a risk and committing to one path and keeping your fingers crossed.
There is no easy way to fulfilling dreams, or what would be the point? Success is down to many more factors than integrated or modular. Either is only as good as the person doing them. Your success will depend on you and your determination. Your ability to gain a job will depend on your ability to overcome the competition, economic climate and the challenges you face everyday.
So don't get hung up on which might be the best way. There isn't one. Just different ways. Everyone who's done it has a different story to tell. So just go the way that's most plausible to you in terms of cost and time and which you feel is most suitable but mostly, which you are most happy about doing.
Good luck...

just don't get luckier than me