It's actually at the smaller companies (like startups) where you'll be expected to do that. I worked at a company with <20 people total in the entire "IT department" (encompassing all computer-related things). Even though my job title was security analyst, I was in Active Directory, I was configuring Cisco gear, I had the on-call phone for the entire department, my phone was in the helpdesk rotation, I'd be dispatched to satellite locations to troubleshoot their wireless.
In my current job as a consultant, I've worked with startups where their engineers are answering support emails and replacing their own hard drives because they don't have a helpdesk or a desktop support team.
'exDM69, I'm not arguing with/against you, just piggybacking off your distinctions to help the conversation. If you're afraid that moving from a tech company to any other enterprise will have you putting on many different hats, it's probably not true. Unless you move to a tiny company, which is true for tech companies as well. Any real enterprise company will have dedicated IT support teams and you will be reprimanded for trying to perform your own IT maintenance since that's not your job.
Carpenters build houses, woodworkers build furniture. IT people reinstall operating systems, fix printers and networking issues and software engineers write software. They have a different education, different job description and different pay scales. A woodworker wouldn't make a good carpenter nor a software engineer a good IT person or vice versa.
There is absolutely nothing wrong in being an IT person or a carpenter, they're reputable jobs that put food on the table. But if your trade is being a woodworker or a software engineer you should be slightly worried if you end up being put in a carpentry or IT. Or vice versa.
Disclaimer: I'm biased because I'm a software engineer and a woodworker. I'm good at my job but I can't fix networking issues or build houses.