The way I see it, these could basically be considered to have "Basic landcycling - Discard a card." and you would cover most of what this does (from a value perspective - the discard outlet may be skew the perception) and stay within the rules.
That doesn't mean the best thing to do is to just replace the ability with basic landcycling - but it's a tried alternative.
The trigger seems like it's quite easy to miss, the ability has a lot of text, and it encourages constant shuffling. I'm definitely not a fan.
Maybe the ability just wants you to be able to play the card face down as a tapped Wastes or something like that?
The way I see it, these could basically be considered to have "Basic landcycling - Discard a card." and you would cover most of what this does (from a value perspective - the discard outlet may be skew the perception) and stay within the rules.
That doesn't mean the best thing to do is to just replace the ability with basic landcycling - but it's a tried alternative.