Fees are not tied to price of the coin, no matter what coin. The fees on bitcoin didn't go up to crazy amounts in december because the price went way up. Fees are tied to space in the blocks. Fees got crazy because the blocks were full with a huge back log of transactions waiting so people had to put higher and higher fees to get their transactions sent in a reasonable amount of time. Now at a price of $9000 bitcoin fees are like what they were a year ago at a price of $1000. Price and fees are not directly linked only indirectly through the direct linkage of usage to fees.