Eggggs-zackly! Video conferencing saves Corp-America a lot of bucks, and I can even partake right here with my web-cam, a high-speed link, and some software. I've 'sat in' on meetings with a dozen other folks!
Our congress critters, tho', would miss their 'perks', fab lunches, dinners, and Happy Hours.....
....and they'd have to, as you point out, mix with us 'common folks'.
Yup! All this jettin' off to Washington basically accomplishes nothing but lots of lunches with lobbyists, TV exposure, knockin' back the good stuff with cronies (Hello, Teddy!), and keeping the escort services in business.
There's no reason at all for Congress to act like it's the 1700s and they all have to personally travel to one building in one city to get their legislatin' done.
They could meet personally in times of national crisis and for events like the State of the Union, but other than that they could get much more done staying in their home districts and "meeting" electronically.