Capacitor Storage Temperature vs Rated temperature
Cold range:

Condensation , freezing and thermal cycles around 0'C with power off may cause stress forces if not packed to inhibit moisture to alter critical parameters.

For example if you start to see cracked ceramic caps post soldering during ICT , you may want to review the storage history to see if humidity or storage temp. was a problem that caused a "pop-corn effect" crack. Then bake the parts to remove any long term storage moisture.

Hot Range:

Metallurgic migration/diffusion of conductor molecules into dielectric crystals is a known characteristic usually minimized by gold wire bonds that can affect dielectric properties.   This may be the mechanism that ought to be considered if planning on storing parts for a long time with aging rates increasing with temperature rise.

If you needed "space qualified" parts then you can afford gold plated terminals.
but for commercial applications nobody produces high volume and quality better than Murata and TDK.