I'm not certain what tHe exact status of the UK - IL BASA but following pressure from BRU all EU member states have been negotiating Community Air Carrier provisions into all their agreements. If the UK was successful, and it looks like they have been, a UK carrier will be any airline owned and controlled by EU nationals which would include Cryanair.
Other EU countries probably have not yet renegotiated their BASA with IL, or if they have nobody has begun operations under the new terms. just like there is (almost) no operations to the USA by a EU carrier from outside their homeland.
Note that Switzerland is not part of this. Squeezy Switzerland, owned 51% by Swiss nationals and 49% by Squeezy UK, operates to IL as a Swiss airline.