My RG570 came with a leatherette gigbag but I switched to an Ibanez gigbag after my guitar's close call to doom. Was waiting for the MRT when the hook on the top end of the strap slipped. Good thing my reflexes served me well at that time but I still got that mini heart attack.
I was not able to withstand the warmth of the Ibanez case on my back and my shoulders though so I decided on swapping it for ANOTHER leatherette gigbag. It was an old, beat-up Yamaha bag that served it's purpose for a little while. It had a more secure strap hook than my first one as well. Had to replace it last month though because the stitches are starting to give.
Got a minty Shimokura gigbag from the classifieds which was waaaaaaaaaaay softer than the last 2 leatherette bags that I had. They were just too old.
Kept the strap from the last one though since this did not come with any.