Well, that would be a really weird and silly distinction. I don't think the Czech clergy could distregard the CIC to that point. I mean, in the Church of the Origins the Baptism was also a "photisma" (φῶς , light), the baptismal font was therefore a "photisterion" too and the baptized were called "photismoi" - "the enlightened" as well (the Biblical roots of this are in Is 26,19: "quia ros lucis ros tuus est" and basically all John is about light). This multiple nature had, however, some basis.
But to distinguish between "baptism" and "Christening" would be really preposterous. There are some formal requirements I had never thought about so far. Now I see why having rules for sacraments makes sure the descendants can easily trace their origins. Adherence to the CIC now can spare a lot of difficulties in the future.