Long term it would save money. Short term it's just the cost of a deleted or trimmed scene. The way 12M did it was to show oh this was also happening in that scene, another character was there and saw it as well etc.
HOW I MET YOUR MOTHER infamously did it, albeit at the cost of locking in a final story arc that proved controversial with that show's fanbase.
12 MONEKYS had a budget of about $3 million an episode, and their main sets were in the Toronto area. Season 1 had location shooting in the Dominican Republic (standing in for Haiti) and Northern Macedonia (standing in for Chechnya). Season 2 had locations in Budapest. Probably 1/3rd of seasons 3 and 4 (done back to back) was shot in Czech Republic. Go film tax incentives... much better than shooting on a primitive holodeck.