ok i see what you are asking. not really faster spec wise but rather in real world. i assume you are gaming online and wonder abut lag and such caused by the port.
unless your connection is the full 1 GB, then i don't think you will see much difference. even a 100 MB line only uses 10% of the connection (which would be a high end connection in the US). any issues that may show up would show near max usage and such small amounts of the port being used should not show the limitations it may have. i doubt you would see any difference in either port.
but to try to answer you question, i believe the realtek drivers have less issues. never had problems with either myself but reading reviews, i have seen more intel driver issues than realtek ones. that's about all i have noticed between the 2.