A bit inflated? - sometimes, yes.
BTC network fee? - no, not if you buy BTC on GDAX and transfer it to Bittrex.
So, if you trade LTC to BTC and then from BTC to NEO, you are paying Bittrex twice the fees.
You may argue that the occasionally “bit inflated” BTC made it worth going the LTC-BTC-NEO route, but from my experience, it has been cheaper doing BTC (GDAX) - BTC (Bittrex) - NEO.