Three phone lines in 1997?
Why does she have three phone lines? That's an absolute minimum for her to be able to chat using her computer (whatever protocol that's supposed to be..), to have her phone ring and her answer it without dropping the connection, and for the FAX machine to also start sending things to her.
The price of phone line in 1997 was pretty darn high. No one would have three phone lines 'casually' - only people that CONSTANTLY USE ALL THREE and need all three for that very reason, would have them, and even then, it was rare, if not extremely so (SysOps and corporations were probably almost the only ones that had that many, except maybe super rich, big families, possibly).
No one, especially in 1997, would have three super expensive phone lines 'just for fun' or 'casually' or 'just in case'. No matter how big a researcher she is, there's absolutely no reason for three phone lines. Even TWO phone lines would've been a luxury back then, and the whole point of multiple phone lines is so you can do things simultaneously.
Most households simply didn't use the phone when someone was using the internet back in the day, and some households might've gotten another phone line later so - let's face it - their son could freely use the BBSs and the internet without disrupting the family phone line.
THREE phone lines, two of them which are SO infrequently used and free, that someone can use all three simultaneously just to chat with her? There's no reason to do that - just send the data and talk with her in the chat, why would you need the phone AND the fax in ADDITION to the more advanced form of communication?
This movie is ridiculous and convoluted in so many levels anyway, but these little details really show how little they thought of their own story, injecting implausibilities all over the place.