Man, I don't feel like there's an across-the-board Best Answer honestly? Even in terms of what I want to happen -- like, it depends on what's been established before, or what kind of series it is. If My Little Pony, a series where Friendship canonically manifests as powerful magic, were to require the mind-controlled person be destroyed, that would feel weird and dumb. If a gritty zombie movie healed someone from a zombified state with True Love's Kiss, that would feel patently stupid.
I think all of them can be interesting, though, so ultimately it depends on like...... treating it thoughtfully more than choosing the best answer. I mean, you refer to The Power of Love as cheesy, but like, I think that option pulls from things in real life that aren't cheesy at all. Talking someone down from a mental breakdown, talking someone down from suicide, talking down a hostage-taker to save the hostages -- it'd be nice if there was just a demon or a mind-control helmet you could kill to release the person you care about, but usually there's not. Even in hostage situations, you're more likely to have to try to reach out to the hostage-taker to break their resolve rather than just barging in with force, because the latter can make things worse real fast.
The Power of Love can be tense and compelling when it's treated as something real and specific -- when it's not just the vague idea of love that's powerful, but specifically the relationship between these people, or the specific, targeted love and acceptance of the person who reaches out.
And I think all three can also be done so badly as to be unbelievable. You can have a suddenly-invented "oh, that's convenient" way to destroy the controlling force; you can have a sappy, unconvincing declaration of love that is so general and vague it could apply to literally anyone and wouldn't even convince someone not to leave the house, much less talk them down from mind-control; you can have someone immediately jump to "oh well guess we gotta kill them" so quickly it gives you whiplash as you wonder if these characters are really going to be so thoughtless as to not even CONSIDER that there might be an alternative.
Thinking it over, I think "destroy the controlling device/entity" is probably the safest option, narratively -- as long as you do something to establish the thing that's controlling them beforehand, it won't feel arbitrary. So that's probably the one that's easiest to do well, but I think any of them can be really powerful. I think my favourite is Power of Love when it's done thoughtfully, and my least favourite is Power of Love when it's a convenient, vague, last-minute solution.