Yes I always like to do my own math it has sniffed out the BS many a time from the likes of Tesla, Nikola and so on. Not always right, but amazing how many times theirs is wrong especially if marketing something.

You should alway try to understand the math / science and make your own judgements rather to falling for arguments from authority. This isn't always feasible but I think most people can do enough to weed out the snake oil to a much better degree than we seem to be doing as a society now.

Note this will also make you a better engineer / programmer in my experience.