How much does the future career of a PhD student matter to the advisor? I am struggling with my Post-PhD career. I am still looking for positions and I getting zero response. My advisor is giving me no leads and I don't know if she's even bothered about my career prospects. She has offered me a one year postdoc position in my current lab. Apart from that, there's no further help.
I don't know if a PhD advisor even cares for their students. I feel so unsupported and lost.
Edit: The problem is I work on a modeling technique and research area that's not in her expertise. I started the entire work and now she has other PhD students working on the topic due to the multiple papers I published. I have already staying around 6 years with her. My PhD went so long due to my own faults. Now I am absolutely lost and disillusioned.
Your last sentence makes me think that the question you ask in the title may not be the question you're really interested in. If you feel lost, talk to people. Friends, family, professionals, whichever you feel most comfortable with, but get help.
How much does the future career of a PhD student matter to the advisor? The subsequent careers of the collective PhD graduates influence the attractiveness of the advisor to future PhD students. So it matters, but if the advisor has many successful PhD graduates on their resume, it is a matter of diminishing returns.
Beyond that, a good PhD advisor would feel a moral obligation to ensure their former students land somewhere nice. However, the current Covid situation makes the job market really rather difficult right now, so this is not entirely within the grasp of the advisor. Offering a postdoc is something that the advisor can control, so I can understand why this would seem like a reasonable solution to them.