I have never heard on a difference between the degree. If you've finished a Ph.D. in some subject, you have finished a Ph.D. on the subject. You've done the research necessary and was approved by your committee and the university's senate (or whoever approves it there).
Whether or not you get a job depends on the quality of the content of your dissertation, your reference letters, networking skills, and just plain luck with timing.
Even if we agree that Ph.D. based on publications is better, then the only difference is that it might give you a slight edge with regards to the content of your dissertation. But ultimately, it's about what's inside rather than what form it ended up in.