I think in this unique situation, they would have to ask the Spring sport to make an exception for those players. I would guess it is close to 95% of Winter sports athletes have already finished their season and it would not affect them. It would be that very small group of players that are still playing at the regional or state level.
If they start playing HS sports again in April, they should be able to finish these games. The bigger obstacle might be those that move on to their AAU teams and forfeit their eligibility.