Not only Arsenal, I think injury problems will always be a scourge for any team, especially if it has entered the middle of the season. With the fall of Arsenal in the FA Cup, I thought they would have had more time to rest than their closest competitors. So Man City and Man United should also be careful because they have a tighter schedule of matches than Arsenal and Newcastle.
You are right and I agree that with so many choices rest has the potential to stabilize players. Especially Arteta did not want to take any further risks. I'm sure what Arsenal gets knocked out in the FA Cup will be very beneficial in the Premier League and only focus on maintaining the Standings. It's no wonder that clubs like Manchester United and Manchester City will be preoccupied with busy schedules and players with a higher potential for injury. If that does happen at least a plus point for Arsenal to be in full control.
That's why a club must have good squad depth, so they won't find it difficult to rotate players and have a large selection of players. With a busy schedule, of course, this is a problem for clubs who are not ready for the depth of their squad, but for clubs who have good squad depth, they will like this situation, because they are very aware that their opponents must be tired with such a tight match. They would definitely take advantage of their opponent's weakness. If the situation is over and they have no other choice, then giving trust to the existing players is the best choice. Trust, yes that is the key, because sometimes a club doesn't really believe in the players they have.