If you are planning to work outside academia as a specialist in your field, then you need to have academic knowledge. I don't see any value of having PhD papers publication while you are seeking non-research job positions; but, a wise employer will decide upon your CV.
As far as most of your time as a PhD student has been spent on research, so the employer is probably seeking the out put of the years you spent in university. These are the years you did not have enough freedom to work in industry, so the question here is what this candidate did at the university.
Nobody wants to hire a tired and depressed candidate who did not do well in his studies as a student and it may come to mind that he will be as tired as the years he was student, why to have him in company?!
So by having publications in your CV, you not make your CV comparative and comparable to the other candidates registering for the job; but also you will show that you are an ideal person in every situation. When you attend university, you did your best, finished your degree and have some publications; and the employer becomes more sure about choosing you. Percents bellow is my approximation of the need of publications in job market.
If I want to generally answer your question:
If you are going to be hired somewhere:
- 100% If it is a research job and related to your studies; then you absolutely need to show your research capabilities. So you need to prove that can do the research chores and then having paper publications is good idea.
- 80% If it is a research job and not so related to your field, then the title of your papers may have no significant value but you need to show your ability to conduct research and having publications shows that you have the ability and the knowledge to do research.
- 50% If it is a non-research job and related to your field, it seems that having publications does not make any sense but you have to show what you did in your education years, so if you don't have work experience in your CV, show that you have published something, show that you are expert in your field, have something in your CV!
- 10% If it is a non-research job and not so related to your fields of study; then you may not need that much publications (see my answer above).
0% to 100% If you are going to work on your own and do not have any plans to be hired somewhere, do some business, be an entrepreneur, etc., you are the one who wants to hire you, so having publications isn't significant. But keep in mind that having research publications gives you ideas to work with, opens your eyes as a specialist and opens many more job opportunities than a person who has not any insight to research. So having publications may give you many more opportunities than having no publications.
In my opinion, be firm in every step of your life, finish your PhD with most output and publications; and enter a job which is so related to your field and make use of the things you learn during your studies at the university. If you do not gain much from your education, then it seems that you have lost your time for a PhD. So what was the use to get a PhD?
By the way, I think that your question highly depends on answering to this question: What are you going to do after graduation? And, What the consequences of not having publications would be in your future careers and jobs. You are the only one who can answer these questions precisely.