Autos don't really have a veg and a flowering stage, they kind of do both together. I could call the first two weeks veg I suppose, but usually that is just called a seedling,but after that they start flowering. Now, while they are flowering they are still growing very vigorously and some refer to that as veg when comparing to photos. And finally they go into a proper flowering period where they quit getting noticeably taller and almost quit drinking water, so it gets kind of hard to stay on the same page with another grower because we may all be talking about the same thing or different things.
But getting back to temp, the original thinking was autos can withstand lower temps because the ruderalis which is a natural auto photos are crossed with is native to higher altitudes where cold temps are normal. But withstanding is not the same as thriving. To further complicate matters, higher indoor temps were associated with the heat from hid lamps. When growers switched to led they discovered that the plants under led were not getting heat stressed even when the temps rose. This applies to photos but also autos. So under hid 75 was about ideal, but under led 80 is also good. Then they noticed at 80 under led the soil was drying out much quicker and allowed nute farmers to dump more chemicals on their plants which started producing some monsters. Personally, I don't think an auto cares that much. They seem happy no matter what. The early advice was to lower temps in the last days, but that brings us back to withstanding and thriving. I can keep my room at 80 avg all year long. 85 is hot enough and 90 is too hot for me. In winter I could get it back town to 75 if I wanted, but my plants seem to do best right in that 80 to 85 range with no noticeable difference if it gets above or below that for a day or so. Wow, look at all that I wrote, now that's some good talkative pot. Main thing to grasp is unlike the myths published on the internet, autos are very very hardy plants. I would not hesitate to grow in any temperature available. Now I'm too stoned to read what I wrote. Oh well, I don't see too many red lines so I guess you'll get the idea.