OK, so I am quite intrigued by and curious about the feedback from @nminchin and @victordcq and what appears to be the ability to do CSS injection.
I added the text provided by @nminchin to the font-family property of a new style class and it works as advertised, globally removes the labels from the card view of the Alarm Status Table. Note that the new style class this is embedded in is not applied directly to anything at all.

I was hoping that the revision provided by @victordcq would allow me to associate the change to a style class and apply the change more selectively to Alarm Status Table components (and provide better traceability). However I only found success applying the referenced style class selectively to an Alarm Status Table component instance after removing the .ia_alarmStatusTableComponent CSS selector, which does not quite make sense to me.

In any case thanks for improving my awareness of more advanced CSS manipulation options.
Note both of these approaches still leave an empty line where the “Select” text used to be, so not quite a complete fix for my original problem though there is probably some additional CSS trickery that could do it. I’ll be upgrading to v8.1.18 soon.

I suggest the ability to select whether to show or hide the labels, in the card view, from the UI, would be a good feature addition.