Weed, Peppers & Tomatoes is all "Heat Loving Plants". This does not mean that a Baby will not survive, and/or do good if exposed to cooler weather. I had a (Reject Seed) pop up in the worm farm, and done well, when temp low was 28 degrees. But Baby was blocked off from cold north wind, in southern exposure where the sun & worn activity had the soil well above the said temp. Afghan strain, seed set in ground since last Oct. before popping. I eventually transplanted the Baby, in & out, with my other Babies. My cat pissed into the pot, killing the Baby. Killed 5 of 12, actually. 3 days ago, another popped up, after "germing for 5 months. Wild flower seeds will set dormant up to 5 to 7 years. For proof, use a tiller to unearth buried seed, and all of a sudden, the garden is filled with unwanted weeds. Tilling also exposes direct sunlight to micobes, which kills them, like MG.
But the point is in this post is that it is a fact that if you get your heat loving baby-80 degrees max. potential into a cooler temp climate, let's say March, that Baby will do ... survive. However, the cool temp stunts the growth. What has been proved time & time again, that the plants set outside when the soil temp is minimum of 65 degrees, as opposed to plants set out early... the later, smaller plants will grow faster, and out grow the earlier set out plants. And soon, double the growth & production. When a plant does not have the imposed hurdles to content with, it will be all that it can be. Be careful when playing with Mother Nature. Hope this helped.