No I have Bitcoin Core and other qt wallets.
Which version of the software do you have?
I run them constantly. My download speed 10 Mbps and Upload 2 Mbps.
Go into Debug window (Network traffic), is the received or the sent data higher? Some statistics could help out when it comes to figuring out the best solution for your problem. Are you running a node by any chance (since it is unusual to leave a wallet open constantly otherwise)?