Status and security
As John O notes, events in the real world have shown that physically commuting to work is unnecessary for a sizable portion of the workforce.
But, that doesn't spell the end of massive cool skyscrapers.
As also noted by John O, many jobs can't be done virtually. Many of these will be service or menial jobs that don't need skyscrapers, but some will. I can't think of any examples, but I'll just note that there is a whole universe of unusual jobs out there, so any attempt to generalize is likely to fail. I also think there are more compelling reasons.
Status
Extremely wealthy people often do outrageous things to flatter their own egos, and to jockey for position with their peers. (Just look at the world of luxury watches.) So, the upper storeys of many of these skyscrapers may be penthouse apartments, especially if things at street level are unpleasant because of pollution, poverty, crime, etc.
Many skyscrapers already exist, and the owners will not be in a hurry to demolish them. With more people working virtually, a greater chunk of these buildings will be available to turn into expensive residential property.
Security
One common trope in dystopian fiction is that private enterprises become very closed and insular, both as a defense against corporate espionage, and also as a response to increasing violent crime in the absence of adequate policing by the government. Basically, all employees move into corporate-owned facilities, and live there with all their colleagues; management lives in upper floors, with the executives at the very top.
This means that every employee can be protected by corporate security. It also makes it much easier for the employer to extract more working hours from each employee, since employees literally live at their workplace. Not to mention that it would probably stroke the egos of the super-rich people at the top to know that they live atop a closed community over which they have an incredible amount of direct control.
There's an older sci-fi story where practically all humans live in sealed skyscrapers that are essentially independent nations who literally war with each other. (I forget the title. IIRC, it's kind of a murder mystery that involves some shenanigans with elevators.)
If things in your world go in a similar direction, it could drive an increase in the construction of skyscrapers, making them bigger, taller, fancier (on upper floors).