Alternator going bad??

Ok here’s the story, my alternator was changed by the dealer less than 1000 miles ago, it was a factory rebuilt, since I got it it didn’t start right away from cold start, I had to blip the throttle to get it running and turn off the ligjt, my dealer said that was actually normal (??) anyways I always blipped the throttle at cold start and never had an issue.
Today (AFTER WASHING my car that may or may not be related because these cars tend to do weird things when they get washed) the light came on, I blipped the throttle and it didn’t go off right away, eventually did but while driving the light came on intermittently, specially while accelerating, I stopped and took this video


When I got home I tested the voltage with a radar detector plugged to the cigarette lighter and the voltage was 12.8-13.2V
https://youtube.com/shorts/-7M1NW5oqoo?feature=share

So my first guess is, the alternator is starting to fail AGAIN, I have read that this Delco alternators are prone to fail as they are not intended to spin as fast and they fail due to shaft vibration damaging the rectifier and brushes fluttering. The rectifier will pop due to flutter with high RPMs.

BUT...
after an hour or so I restarted the car and I got good voltage 13.9-14v
(Picture attached)
so in my mind the alternator is starting to fail even though it has not failed yet, But I can’t stop thinking about the wash, because it happened right after the wash.

What do you guys think?? Is it just a coincidence? Is my rationale about the alternator valid??
Thanks

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Thanks for both your responses, yes I know that testing at the cigarette lighter was not the most accurate or proper way but I don’t have a multimeter and just wanted to see if I was getting more than 12V, as the last time when my alternator died that same reading was below that.
Do you guys think the wash had something to do with it? That maybe moisture would do some kind of weird connection and turn on the light?? Thanks

 

Thanks yes my car has a kill switch inside the cockpit so I always disconnect the battery after using it, I also have a CTEK charger and just like yours it takes a while to get to the last green, I don’t connect the CTEK to the battery because I use the kill switch, do you think is a good idea to connect it to a trickle charger even though it is disconnected??
A battery issue could triggered the battery warning light? I thought that was solely an alternator problem as the alternator is running and the battery is not longer a factor while running. But maybe both are

 

Yes a former owner installed a kill switch under the dashboard, pretty handy, my mechanic found it and told me it was a kill switch, the one inside the trunk is disabled though.
I have never had an issue with the battery by killing the switch, but once I didn’t kill it and the battery went flat after 2 weeks or so (it has an after market alarm that I never use but maybe it is still draining some energy)
Today the light stay on while driving I took these two videos, one driving and one idling at a stop, weird thing is that the light is more illuminated with higher rpms and dimmer while idling (and at some point while driving it was flickering). My rationale would be the opposite, because higher rpms would reflect on a higher output from the alternator. After a while the light went off (Italian mistress is getting temperamental)
Driving


idling
https://youtube.com/shorts/vMECb6-VQVM?feature=share


I found this thread and it seems this fellow member had the same issue but the videos are not longer there to compare.
https://www.ferrarichat.com/forum/threads/512tr-battery-warning-light-question.464044/




I will take it to my mechanic tomorrow before going through the odyssey of a warranty claim at the dealer (it’s been 2 years but less than 1000 miles so I am not sure if they will cover it)

thank you very much to all of you for your insight.