It could be done. The real question is how game breaking this could be. If we limit the idea to ONLY 1 additional move after, it could be deal-able. BUT, part of what makes this game challenging is the fact that you need to be active. So pros/cons.
This idea allows for players to be less and still do well. Whether that is a good thing or a bad thing however, is questionable. Some might say it takes away too much of the challenge, therefore making the game less satisfying. But at the same time, many often say burnout is a huge issue and this could help alleviate that a bit.