Pete, I don't think he's talking about the use of a dimmer switch with these bulbs, but rather them dimming or flickering when the air cond. unit starts.
Cuffs, I noticed in your post about Alexa outlets that you mentioned your house is old, and most receptacles are of the ungrounded type. This leads me to believe your house may have outdated wiring.
Are you speaking of a central AC system, or a window/wall unit? Central air is always connected to dedicated 240 volt circuits, with usually one breaker for the compressor, and one for the blower and controls. Window type units if 240 would again have a separate circuit, but a 120 volt unit may not.
Momentary dimming of lights when heavy loads such as motors and compressors start is common, and nothing to be concerned about. However, if they stay dim (or continually flicker when air is running), then either voltage is dropping too low, or the AC compressor is causing a fluctuation in the frequency of the power.
Ideally, HVAC equipment should be served by it's own panelboard, with the wiring feeding it sized for the starting current of the largest motors that start at the same time. This will eliminate any noticable voltage drop, so no more light dimming when AC unit starts. Of course, the utility co. may also need to provide a larger transformer and heavier service cables to the house. All this is costly, so usually only done in large and expensive residences.
Perhaps the best thing to do is have an electrician visit, and check your wiring. They can measure the voltage drop when various loads are connected, and see if it is within an acceptable range.