Thc takes 3 weeks to reach potency.
What? That statement makes no sense.
THC is formed by decarboxylation, precursor cannabinoid THCA --> THC.
After THC is present it does not need to 'mature' and does not take any time to 'reach potency'.
If you let the trichomes go amber you lose about 90% of the potency you had in cloudy trichomes, since THC is degraded into CBN.
To answer the OPs question:
Probably not, I've heard some dispensaries don't even want cured want, some do, some don't.
Those who don't want cured weed must be morons though, since cured weed is by far better than uncured.
Every personal grower with respect for his weed cures for months. I know one guy who cures for up to 6 months but it is extremely hard to stay within the RH ranges that allow weed to cure for so long.
If you want prime weed you should cure for a month at least.
Remember that proper storing of your weed can keep improving the taste and odour of your weed for a long time.