I’ve gotten my testosterone and hormone levels checked a few times, I’m not on cycle though. Here in Canada my family doctor orders it, can you do that where you live?
If not, then that blood test should be good, I can’t imagine that that blood test would be worse than the one my doctor orders in any way. If you’re starting a cycle make sure to get many different things tested like LH, FSH, SHBG, red blood cells, etc.
If that blood test only tests hormones I would avoid it and go with a more comprehensive one.