Any antenna placed outdoor gives better results than the same antenna placed indoors.
An antenna gets farthest planes in those direction in which it can “see” horizon. Surrounding buildings and tall trees obstruct antenna’s view of horizon. Raising antenna above the height of these obstructions enables it to see horizon, and pick far away planes.
Your current antenna’s performance may increase if you place it on a food can or metallic plate.
That is assuming you don’t want to spend the money for an FA antenna?
And yes placing any antenna outdoors as high as possible is always good for reception.
It doesn’t matter as long as it is metal and stays on where the original whip was.
RG6 center wire might not be as easy to bend around or affix to where the whip sits.
If you have coax lying around i would highly recommend getting some adapters and just making a quick spider though
You can also cut the orignal whip if the first 6.6 cm don’t have that coil.