I think it's pretty funny to call out the clothing as stylish.
As far as I remember, Mulder's suit was meant to look like the cheap and ill-fitting suit that a low-level, young government employee would buy for a dress code and because he didn't want to think about clothing.
And so much of the environment was slightly strange to US viewers, I think, because it was mostly filmed in the Pacific Northwest and Vancouver, and felt just ever so slightly in the uncanny valley of being like much of the US but also not.
I also think the technology was somewhat reduced for plot purposes. Consider the "road warrior" template that already existed for business travelers, with more use of laptops, cell phones, email, etc. I think the writers just found it convenient to make communication and information research more cumbersome than it really had to be in that era...
I agree with most of that, but disagree about the "road warrior" bit. Laptops and cell phones and email existed, but not pervasively when the show started in 1993. It was around 1998 or '99 when work issued me my first cell phone that didn't require me be careful how I used the minutes. A powerful laptop of the time had a 250MB hard drive, a 486, and 2 hours claimed battery life (but in reality the battery was more like a UPS so you could carry it between power outlets). Pagers were common but coverage sucked outside metro areas. Email was uncommon. Email that worked between organizations was science fiction for most people.
On a personal level, when X-Files first aired, I navigated around with a Thomas Guide, and you were out of luck if you got to a friend's house and they weren't home. My dad had a car-mounted cell phone and warned me not to touch it at risk of my life and bank account. No one I knew could afford a laptop. I dialed into a lot of local BBSes with my Amiga but only knew of the Internet from magazine articles and hadn't actually seen it in person. FidoNet was the closest I got to wide-area email.
No, I'd contend that X-Files was reasonably accurate for the time.