I do not know about how futures quarterly trading is charged, but I know that it is different from perpetual futures. With quarterly, you can open a position for up to 100 days, but depending on the exchange. But with it, there is nothing like funding rate.
I see the funding rate not to be a problem because it is 0.01 or less in percentage every 8 hours. It may even be in your favor in a way that you will earn it instead.
Depend kinds of coins and how much percentage of leverage for funding fees in future trading, if you see some coins have limited x125 leverage have more higher funding fee each 8 hours. I don' think any exchange without funding fees in future trading but so far I used Binance only and there have not bigger funding fees. Seems the funding fees depend on each 8 hours and will be for longer time when our position short or long until close the position.
Have disadvantage with future trading because we need to pay funding fee and not worth for long term holding short or long position there, but if there are any exchange without funding fee will be interested.