I don’t know about baseball cards, but the way Wizards of the Coast handles their policy around rare Magic: the Gathering cards makes me think their lawyers are definitely concerned about this kind of stuff.
This caused a large controversy because the chronicles print run was massively larger than earlier print runs and suddenly there was an influx of cards in circulation where previously due to the limited print runs of the early sets these cards were exceptionally rare. This tanked the value of the secondary card market.
Due to the bad PR and negative attention this caused at the time WotC ended up publishing "The Reserved list" a list containing around 550 cards which they guarantee will never be reprinted.
This means for an iconic MTG card like "Black Lotus" there is a limited number of these cards in circulation and no new Black Lotuses will ever be printed.
The reserved list somewhat mollified the people that were baying for Wotc's blood at the time but now 30 years later it is more or less regarded as a mistake. There are a lot of armchair lawyers etc speculating on if they could ever renege on the reserve list and if it even represents an enforceable contract. WotC have basically refused to comment (possibly lawyers have told them not too).