I always like these scenes of them just going about their business. :)

I often think about how their everydays would go and imagine scenes about it, I try to draw the more interesting moments though ^^

Would you explain what their everydays look like sometime? That made me very curious.

It varies by place of living, their everyday occupation, and by individual too.
There are simple ones like fishermen, hunters, and the like in small villages, many of whom make their own tools, often assisted by high-tech manufacturing devices made by the more advanced facilities of their planets.
They like to do these everyday activities both alone or in small groups, the latter can be potentially more fun too. Many villages have public feasts and friendly competitions, these traditions often transfer to other types of communities, and crews of spaceships too. Traditionally they also like to sleep together with other individuals they know and trust, not every time, but this is one of the few ways they don't mind being together with others in a small space; it's also a form of bonding.
There are also scientists,engineers, living in highly developed areas like cities, although those are much more loose compared to the many congested cities humans have nowadays, hesiarr generally couldn't tolerate the lack of free space for the individual.
Some live most of their lives on space ships, for example long-range patrols that monitor the outer reaches of hesiarr star systems and territories. They are often viewed as weird ones but at least they have the patience to endure that boring existence, Fortunately hesiarr ships don't have a large number of crew required for operation so at least it's not too crowded in there :)
There are more ideas and they could be fleshed out more but it would be best to describe them along pictures, which I have plans for.

Where’s the neck gills? Is this like your Third redesign for the Hesiarr species?

True, their gills underwent some redesigning in the recent years, but unlike the previous versions, I feel satisfied with the implied mechanics based on their visual appearance.
Four gills were too many required "moving parts" for a respiratory system, especially in the very limited space that necks allow. Two lung-gills do well, considering the entire length of their upper body can house the filtering system for air and water alike, makes for some interesting possibilities with a one-way flow capable air filtering system too.

As I’ve said before, I’ve always liked your design for the Hesiarr species, fairly alien, not completely humanoid/bipedal...but for being so exotic, still strangely attractive.

Thank you!
And indeed, many similarities to animals of Earth and even some to humans, but still unique in their own way :3

Thanks!
They like to rest in this pose as they have a relatively large pelvis with less bony crotch area compared to humans, but no significant buttocks. This, combined with how flexible their spines are, makes this pose comfortable, and useful for stretching too unlike how it would seem for a human :)

It is a possibility that she came from a different species, in which case she has much to learn, I've talked with Tanthalum about her a little bit, may be interesting to create a backstory for her too :3

Nice design1

Thanks!
The design specifics of her were Tanthalum's idea btw :3