5000K vs 6500K

Buy 5000K. It is the practical top of the useful range - crisp, honest about color, and still reads as white in a room with ordinary warm surfaces. Buy 6500K only for a garage, a workshop, a hobby bench or grow lights, where maximum perceived contrast is worth a visibly blue cast.

Both values get sold as "daylight", which is where the confusion starts. Daylight is not one number: 5000K is roughly direct noon sun, 6500K is an overcast northern sky. Indoors, against wood, paint and skin, those are not interchangeable.

The kelvin scale is not perceptually even. At the warm end, a few hundred kelvin is a subtle shift - 2700K to 3000K is a matter of preference. At the cool end, the same arithmetic step is far more visible, because you are adding blue to a light that has no warmth left to mask it.

What makes it more obvious still is what the light lands on. A home is full of warm surfaces: oak, pine, beige paint, skin. 5000K against those is neutral enough to pass. 6500K against those produces a visible color clash - the surfaces go gray and the light goes blue, and people describe the room as feeling cold rather than well-lit.

A garage is the opposite environment: concrete, metal, white-painted block. Nothing warm for 6500K to fight with, which is exactly why it looks right there and wrong in a hallway.

The 5000K to buy: the Feit OM60/950 A19. 800 lumens at 5000K with CRI 90 published, UL Listed and damp rated, ten to a pack. CRI 90 at the cool end is uncommon and it is the difference between a crisp room and a clinical one.
Who should skip it: anyone with a dimmer - it is published as non-dimmable - and anyone who only needs two bulbs, because this is a ten-pack.

The 6500K to buy: the Waveform 95 CRI A19 6500K. CRI 95 with R9 above 80 at the coldest value in common use. If you are going to 6500K for color-critical work, this is the version where the color rendering justifies the choice.
Who should skip it: anyone putting it in a living space. It is a specialist bulb and it looks like one in a lounge.

If you want to try both: the EcoSmart 6-CCT selectable. The rare selectable bulb that goes all the way to 6500K rather than stopping at 5000K - 800 lumens, CRI 90, dimmable. One bulb settles the argument in your own garage.
Who should skip it: anyone doing a whole workshop, where fixed-value bulbs cost far less per socket.

For a garage door opener specifically: the TORCHSTAR 15W 5000K. 5000K in the shape and vibration tolerance a garage door opener needs, which an ordinary A19 does not have.
Who should skip it: anyone lighting the garage generally rather than the opener - for that, a shop light does far more per dollar.

If 5000K already felt too cool, the comparison one step down is 4000K vs 5000K, and the warm-versus-neutral decision is in 2700K vs 4000K.

If this is for a garage or workshop, the bulbs matter less than the fixtures: the best LED garage and shop lights and garage lighting cover the whole room.

If you want cool light by day and warm light by night, that is a tunable-white job rather than a fixed bulb - circadian and tunable white lighting explains what actually works.