Yeah, there's a lot of games which can evoke a sense of horror, dread, tension, but aren't designed around actual survival horror style gameplay. Survival horror games classically involve a player character who absolutely is not a one-man army, is not generally capable of feats of insane agility, etc.
The original Doom for instance, is a game that is heavily horror and gore themed, but it is definitely not a survival horror game. It's a first person shooter that simply has horror elements such as terrifyingly dark passageways and such.
Wrath of Earth also hits some similar survival horror vibes without being an actual survival horror game; it's an MS-DOS era FPS where you're exploring planets and trying to stop an alien invasion that's invaded and enslaved human colonies. Your suit's solar powered and comes with shoulder mounted plasma cannons and missile packs, but you really don't have much actual health. Unless you're playing on Easy mode, where you are a damage sponge, your shielding drops very rapidly. 4 hits from early game enemies can ruin your shields, melee enemies are slow and easily evaded but can do about 1/2 shield damage. And, when shields are low, attacks often damage your systems, including your HUD. Suddenly losing power to your weapon systems and having all your meters and HUD go totally blank because you took a strong hit is pretty terrifying and demands an immediate retreat to a light source or energy packs to let your suit repair. It's especially scary when you're in a dimly lit environment with no light source to recharge from, hoping you can find batteries to recharge your suit. Worse, if you're stuck somewhere like the dark side of a cold planet where the temperature is low enough to constantly damage you, you're desperately running collecting batteries in the hope of finding shelter. It's not a survival horror game, but your relative fragility coupled with the added danger of being in extreme temperature zones or dark areas where you can't rely on your autorecovery systems is a very real source of tension.
A real example of a game that could claim to be a survival horror game whilst straddling other genres like adventure games is the first Ecstatica game. It uses gore, jump scares, limited carrying capacity (one item in each hand), no visible player health or HUD (damage is indicated by if you're limping), has an early persistent enemy that will chase you relentlessly and requires hiding from to evade (technically killable but its health is absolutely ridiculous). It also has some nasty elements such as instadeath traps, and some black comedy humour. The setting's supposed to be medieval age fantasy though, not a traditional setting for a survival horror game, and the art style is unusual and unique enough that it may feel more wacky than truly scary and tense for people.