Not anonymous even for small amounts of money. Without tricks and workarounds Blik apps requires Google/Apple approved smartphone with Google/Apple approved build of the OS logged into Google/Apple account. Participation in the network is tied to private will have Blik association even on small scale.
I don't think having anonymous transactions is the goal for most people. For sure it's not the goal for Blik. The requirement of having a Google/Apple-cerified phone is a requirement of bank apps I think, not Blik's.
It does not matter on which layer the restrictions are applied here. Effect on society is the same - ability to pay only for those that give up on basic freedoms (which anonimity of payments and choice of device you carry are).