"Yes" and "No" are both equally correct
That is more of a "case by case" cultural basis and whether or not the klyntar is corrupted.
For instance, lets look at the differing "major" groups - The "Klyntar Empire" (seen in Planet of the Symbiotes) and the "Agents of the Cosmos" (First seen in Guardians of the Galaxy).
The Empire, is comprised of corrupted klyntar who do use up hosts and see them as nothing but chattel to eat and get fun from - they conquer entire planets and are highly dangerous as a result.
The marvel wiki puts it this way, what sort of fate befalls these poor victims:
The corrupted symbiotes tended to force their hosts to perform spectacular and terrifying feats in order to feed off of their adrenaline and other hormones, such as phenethylamine. Eventually, the hosts would be sucked dry of vital fluids, collapse from exhaustion due to the constant stress and exertion, or simply die in a failed stunt;whereupon the symbiote would seek out a new host to repeat the process.
But the "Agents of the Cosmos" have a very mutualistic bond with their hosts - they seek the perfect match (aggressive hosts lead to corruption - and resultingly these guys are very fussy on who they pick to try avoid that) and do not drain them dry, working together as, well, Agents of the Cosmos, to try protect the galaxy.
In fact, they tend to have less of a severe hunger/need to feed in general - in contrast to corrupted symbiotes often turning ravenous, which in turn is not good for a host because if there's nothing else to eat...
Then you get the rogues - the independent entities.
Or as independent as a symbiote can be at least.
They can go either way.
You get those like Zzzxx: they behave very much like the Empire, despite apparently not sharing an association. This symbiote in it's appearances was feeding off and draining the hosts dry not caring about any of them - to the extent that one looked very unwell after only what could have been a period of hours.
You get those like Carnage Symbiote - Red here, has drained and devoured non-Cletus hosts, but Cletus himself? They would never and do never. In fact, they have actively resuscitated the man from the dead.
Then there's the Hybrid Symbiote - which adores it's host Scott Washington and doesn't drain or stray from him to drain any others.
There's variety and choice involved essentially.
And it's also canonically been noted that the symbiote can go the other way entirely, in the 2018 comic series: Where a symbiote character strongly implies that a symbiote can not only heal physically wounds/damage, but also prevent them from aging as well if they really do like them.