Are you referring to Devgru? Not that they are secret, just another name.
These teams do exist, most developed countries have them. And it really is irrelevant what their names are and all that kind of stuff. British SAS were born out of long range patrol groups in the deserts, Delta and SEALs came from Vietnam and embassy seiges, GRU came from somewhere or other and Batman stole their logo, etc. etc. and many of these kinds of people float between different organisations as required.
I think people get bogged down in the superficial aspects of these kinds of organisations such as names, levels of secrecy, etc. and tend to ignore the more relevant parts such as capabilities (the birds they used with newer EMC/acoustic tech, coms links), where they will be useful (OBL/TTP/LeT hunt, downed pilots in Libya, narco-hunters in LATAM/CENTAM, etc.) and how the apparatus uses them (compartmentalisation of info, layers of confusion post-op, create mystique about existance...., such as creating names of super-secret squirrels and then making out like there are even more secreter squirrels with a cooler names!!). These are the more important things that change over time and have more impact on our lives. The fact that there are speccy soldiers out there is a constant.