well, if it were to be pronounced "bear arctic" then it would actually be spelled "beararctic" like "zoroark" is just "zoro" and "ark" put together. but instead, it's "beartic" which takes "bear" and just the last part of "arctic" (which is "tic") and put those together. thus pronounced "bear-tic." ....I guess they thought more than two syllables would be unnecessary? *lists many pokemon names with 3+ syllables.* but yeah, sorry bud...you can still pronounce it "bear arctic" but you'd be the only one...especially since the only "c" is at the end, leaving nothing to give a "k" sound between the "ar" and "tic".
and as far as cinccino, this one has been annoying me. I automatically pronounced it "chin-chee-no" and someone at my league with a cinccino deck pronounces it "sin-see-no." but in actually, we're both grammatically incorrect. "cin" is pronounced "sin" while two "c" 's put together (cc) is pronounced either as "ck" or "ch" depending on what is placed around it. since the letters leading up to it are pronounced "sin" and the letters following are "e-no," then making it sound like "sin-key-no" is rather illogical, as it is less fluent as "sin-chee-no" with the given spelling...having a "ck" sound would logically be spelled as "sinkeyno" (I get this logic in that, in many cases, "cc" after a "c" is pronounced "ch.")
so:
beartic = "bear-tic"
and
cinccino = "sin-chee-no"
-somewhat CDO (the proper order)