That is a total waste of time in a startup with a small number of units shipped.
A component behaving out of spec due to temperature excursions simply isn't that common nowadays. If my system is mostly ADC to digital to DAC (standard for robotics controllers), testing for temperature is a waste until I'm shipping significant volumes.
There is a video of one of the slightly famous YouTubers who has a high voltage thing that fails at the altitude of his lab. The manufacturer did check it for function at the elevation of Denver, but his lab is higher than that. There are limits to how much engineering effort you should put in until you get an actual failure. (Maybe someone can link the video as I can't remember it at this point.)
You can waste infinite engineering effort covering all possibilities. Or you can ship the thing and fix the failures. "Good engineering" is about balancing the two--you need to ship, but you don't want to have too many failures in the field either.