How hard is it to figure out that the exception being made here is to not allow them to sign? How many times does it need to be said?
After a lot of digging, here is the gist.
Kaprizov is still technically under contract to CSKA Moscow. With the KHL season suspended, there are factors in place that could prevent Kaprizov from signing with the Wild, i.e. no one knows what the KHL is going to do with player contracts due to the suspended season.
Because there is no transfer agreement between the NHL and the KHL, plus their agreement to honor existing contracts, the Wild cannot sign Kaprizov to play for them this year until everything is worked out on the KHL side.
Kaprizovs contract was set to expire on April 30th, so if the KHL figures out their stuff, and his contract status is UFA, he would be eligible to sign with the Wild and play in the Playoffs.
The reason why Daly and the NHL are saying no is because there are legal ramifications involved if the Wild sign him for this years Playoffs and then CSKA Moscow/KHL decides to roll over contracts for next season. This being Russia makes it a possibility. The NHL would be in violation of the contract agreement and Russia would undoubtedly try to sign every Russian born player currently under NHL contract to play in the KHL, with boat loads of money.