I did not read about those distributions, but that wallet does not make any money from providing them with its services may be they may sell users' data even though I do not think they are doing that (nothing prevents them from doing that.)
It is most likely that what will happen will be similar to what Trust wallet did. They will try to create ERC token and use its fame in an attempt to market it, and perhaps after collecting enough money they can put up an investment and start offering shares.