Those Ecosmart adjustable color temperature bulbs appear to have to have flicker.
It's only very slight at 5000K, almost totally unnoticeable at 2700K, but gets much more noticeable at intermediate temperatures like 3500K and 4000K.
At 3000K the flicker is not really too bad but is a little noticeable.
I'd be very curious what the exact circuitry is inside these bulbs. I think we can assume it only contains 2700K and 5000K white LED emitters, but exactly how the design combines those two, I do not know exactly.
One theory is that it might have a computer chip to rapidly switch between the two colors, which could account for the flicker.
Pulse width modulation (PWM) often seems to be the preferred circuitry design for dimming LEDs, to avoid wavelength shift from the blue emitter at the lower end of the voltage range which cause some color shift and throw off the overall color tint of light.
Unfortunately the trade-off seems to be that some people can perceive the flicker resulting from PWM.
Being able to selectively turn off certain emitters inside the bulb seems like it could theoretically make more sense, but I think perhaps that might add more complexity to the circuitry and I don't think there are any color temperature adjustable LED bulbs that do that. (With the exception of adjustable brightness 3-way LED bulbs)
I don't notice any flicker from the other Ecosmart dimmable bulbs that do not have adjustable color temperature. (Those are only available in 2700K, 3000K, and 5000K)
The side of the box claims "Highest quality of light. Brings out your home's true colors in the most natural way possible", which suggests that the CRI is probably a little higher than on standard LED bulbs.
Nevertheless, judging from the quality of light, I doubt the CRI is above 90 or 91. (For comparison, some of the other "high CRI" bulbs are more like 93 CRI)
(I presume all the Ecosmart dimmable bulbs are using the same CRI level LEDs inside as the color temperature adjustable bulb. They have the same "light quality" picture shown on the left side of the box. Though it's possible this could be a slightly mistaken assumption. The color temperature adjustable bulb does not advertise that it has "vivid, real color lighting" on the front side of the box)
Something else possibly worth noticing, I think they might have designed the tint on the 2700K and 5000K to be just a tiny bit more green shifted on the Planckian locus to help compensate a little bit when the two are combined together to make color temperatures in the middle. It's barely noticeable though. I'm surprised the 3500K doesn't have a slight magenta tint. It might barely have the tiniest magenta tint but it doesn't seem to be noticeable at all, and I'm not even sure that it does. Not compared to normal LED bulbs that have regular CRI.
I'm not saying the 2700K and 5000K have an obvious tint. It's not noticeable unless one is really paying close attention, scrutinising it and carefully comparing it to the light from other bulbs. The 5000K seems to be just a little bit greener and the 2700K seems to be just a little bit more yellowish. (Probably unlike most people, I actually personally prefer this. In my opinion that is actually closer to the tint of natural sunlight as seen from earth filtered through the atmosphere, even though it might be considered tinted by the standards of a theoretical perfect blackbody Planckian locus. But I know the majority of others seem to prefer white light with a more pink tint)
I can't really discern much visible difference in the tint of Ecosmart's dimmable 3000K bulb (permanently at 3000K) compared to the adjustable color temperature 3000K setting. Maybe the non-color-adjustable one is a tiny bit more pleasantly yellowish but it's very difficult to tell. And I'd say the light tint of the adjustable color temperature 3000K setting might even be somewhere between that of the permanent 3000K and a 3000K LED bulb that has ordinary CRI. It could also be possible that the frosted glass shell of the Ecosmart's dimmable permanent 3000K bulb (which is constructed more like a filament bulb) might be filtering away more of the blue light than plastic diffusion covers do, and that could be responsible for altering the tint.
But I'd say the slight magenta tint, if it does exist, starts becoming more noticeable at 3500K, for the color adjustable bulb, then for any of the other color temperature settings.