It seems to be the issue is specifically related to your internet connection or configuration. It does not seem to be related to the wireless adapter or its local connection.
Most of the times the DNS is set to automatic, unless your Internet Service Provider gives you a specific configuration; therefore you may check with them regarding your internet connection.
You may verify your wireless adapter DNS settings from Control Panel, Network and Sharing Center (Network and Internet), double click the Wireless Network Connection in use and then click on properties, then double click Internet Protocol Version 4. It is also a good idea to check the router's configuration and update its firmware.
You may also see your local network (not the internet connection) has a higher transfer rate by running the following command in CMD:
netsh wlan show interfaces
Even though the integration of other components does not necessarily affect the wireless adapter we strongly recommend checking about this with the computer manufacturer since Intel Wireless Adapters are meant to be professionally installed by Original Equipment Manufacturer (OEM) technicians.
I hope this information helps.