The number of competitions that Madrid has to play certainly forces them to be able to rotate players well, as a big team and handled by experienced coach, of course they don't want to lose a single trophy from the competition they participate in ,so I think all competitions will certainly be played seriously and not just La Liga and the Champions League, see the number of injured players at the moment, Madrid journey may be a little difficult, but that doesn't mean they won't focus on all of these competitions, because we know how Madrid and Ancelotti have had great ambitions to win every trophy so far.
The player injuries experienced by Real Madrid at this time could indeed be an obstacle for Real Madrid to perform well in every match, but I also believe in the level of consistency of the current Real Madrid team. Because Real Madrid's mentality in the Champions League is always very big and Ancelotti himself certainly knows what to do and give his best for the team with the current conditions even though one of them is having to be smart enough in rotating players when the match schedule looks quite close for several competitions.
This is exactly one of the secrets behind the Spanish dominance of European football, In Spain they only have the Spanish la Liga and the Copa del Rey which is the league cup to play for whereas in other leagues like the premiership they have too many competitions like the FA cup, the caraboa, the premiership, which make it tedious and strenuous for the player who either get injured in the long run perhaps get affected psychologically as a result of the fatigue they are often exposed to due to the much games they're expected to play althrough the season. But in the case of the Spanish sides like Real Madrid, it's a bit easy for them because the league fixtures is strategically arranged in a manner that it doesn't choke the teams and the same applies to league cup as well, so there's enough time for players to be rotated and rested which is good for the players health and the teams productivity.