IIRc from readings about American Indians, Aborigines in Australia, etc. - HG’s with a well established pattern tended to cycle around a few choice campsites. They would camp for a while until the local game was exhausted, then move to the next point on the circuit. For some Indian tribes, they would have highland ranges they covered in the summer from some camps, then move to sheltered winter quarters. Of course, a lot of this was influenced by - the buffalo migrations, the emerging agricultural tribes who pushed them out of the best happy hunting grounds, and a series of epidemics that preceded the general approach of white civilization, which decimated tribes and severely impacted their cultural viability. Interestingly, the agricultural societies were most impacted by the epidemics; visitors to the great plains after de Soto’s little jaunt found massive ruins of dead towns far away from where he camped. Plus, of course, the horse totally changed society and the face of war for these tribes.
So things like stone circle hearths for fires, even prepared ground for dwellings or rock “cornerstones” would be common with frequently-visited familiar campgrounds, but leaving a wood, bark, or leaf house abandoned for 3/4 of the year would probably mean almost as much work as starting from scratch; plus, in adverse climates they’d have tents or such that could be stuck up anywhere if they had that level of clothing tech.
If we accept that humans are essentially descended from a few thousand source population in about 70KBP, then presumably those final evolutionary traits like speech and conceptual thinking would have latest emerged best formed at that point. The idea that this population was under intense (selective?) pressure adds to the possibility.
They would not have to hump everything mammalian; just leaving one tribe behind in the neighbourhood, consider how few hundred years it would take for that capability to diffuse outward from a significantly more successful tribe to its neighbours. With better conceptual thinking and ability to communicate, it would be easier to plan and arrange assignations behind the back of that dull mute brute, thus spreading the smart genes. Not to mention better-planned hunting parties, better planned division of labour, better social cohesion.
(Recall that one theory says speech became a substitute for apes’ grooming as a social heirarchical social structure building activity - you can “service” abig group at once with gossip, rather than picking fleas off the superior ape one ape at a time. This allowed social groups to expand from a social-networking limit of about 20, to 50 or 100 - a bigger, more dangerous tribe. To reinforce this concept, the biggest item of gossip is - who’s sleeping with whom, who hates or likes whom…)
The plausible cycle is that HG’s would collect seeds as food. Left in a wet bag some might germinate; it’s not a big leap to see, “OK, this is exactly what we see poking out of the ground in the spring. Lets call these things ‘seeds’ and put them in the ground and see if we’re right.” From planting a crop and returning when it’s ready, to eventually getting enough food to allow them to stay for extended periods rather than haul it all with them, to experimenting with storage methods so the stuff kept until next harvest, to arriving a bit early to keep the damned crows off the developing crop… all steps that could emerge gradually until one year a tribe wakes up to they realized they were sitting in one place all year long spending most of their time tending to plants.