I think even then it's important to get additional coverage in the form of cutaways and close ups, to ease editing.
Sure, but it's about shooting ratios
Shooting on film you might allow a 6:1 shooting ratio, but on video it's not unusual for people to have a 25:1 shooting ratio... or even higher
At the moment I try to keep everything I shoot to a tight 4:1 ratio... even though we're acquiring in a tapeless environment.
I know directors who have no idea at all about how the end piece will be cut and therefore shoot the scene from every conceivable angle, and delegate decisions about how a film will flow until post-production. In fact, this has become a common practice amongst Hollywood directors... which makes sense because it's an incredibly safe way to make films. You're always going to be able to cut something if you've got your master shot, a mid on every character, a close up on every character and cutaways.
However, if your budget is incredibly tight you can shave your shooting time by 50%, simply by shooting as though you were using film stock, instead of video...
Directors experienced in working on film, to tight budgets, use much fewer set ups, have a clearer plan in mind for their shoot and always have an eye on the shooting ratios.
If you go back and look at how the Coen Brother storyboarded their early films... the storyboards almost exactly match the final edit... I think they were working at close to a 2:1 shooting ratio (which is phenomenal)
Sorry to pull the conversation off topic... it's just shooting ratios are my current obsession.