While it is possible to not crush frame tubes with a conventional chainstay-mounted kickstand, it's pretty much an inevitability that it will loosen with enough kick-cycles, and gnaw the paint off your chainstays. Putting insulating tape under them will promote loss of torque that much sooner.
The other possibility is it will go where it's not intended to go.


Schwinn addressed this long ago with their superior (but weighty) design. Likewise, some manufacturers provided dedicated brackets between the stays to obviate these problems.

It's a mystery to me why the chainstay-mounted kickstands prevailed.
(I always, always, always remove them without the slightest regret).