Keyless remote issues 06 g6

FWIW,
I've had a similar problem, but ONLY using the remote to "Unlock" the doors (that's the only button I use on the remote). I found the special coating on the "Unlock" button that makes contact with the circuit board was wearing off. I got another fob from a friend, it worked for about a year and then the same problem. The semi-conductive coating was worn off as well.
I played around and was able to open the doors by touching the circuit board itself with my finger.
If that describes your problem search the web for replacement rubber buttons, it takes less than a minute to swap-out, they range from $700 to $10 plus shipping.
Also your fob shouldn't have needed re-programming, the dealers are making a fortune with this re-program ****.

For the technical types;
The coating is a semi-conductive coating. The resistance of a "good" pad was hard to measure. I put resistors across the circuit board, I started @ 10k, it worked, then 100k, 100k didn't work, 82k worked fine. I just added a small micro-switch and no problems since.

Good Luck

Go to www.keylessfix.com I had the same problem and this product fixed my key fob in seconds for under $10.

Hi this sounds more like the receiver system is not working, if you had the remote re-programmed that would not be the issue, it wont be a fuse as it would not work at all let alone give you a faint click noise, what you might have to do in this instance is disconnect the battery from the vehicle and leave it for 30 minuets, then reconnect it, this should set off the alarm system but don't worry this is normal, press the remote to lock then to open, put key in ignition and turn to position 2 ( do not turn over ) wait 5 seconds then turn off, then lock vehicle, wait 25 seconds for system to reset then try and see what happens, if you get nothing again, your internal system will have to be checked out...hope this helps