What does you partner say? In fairness it's a decision you two need to agree on first and foremost. Going behind their back is hardly going to help 'stabilise' your relationship.
Only having one name and the other being classed as a 'guest' is a reasonable request.
However, the LL may ask for guarantees that the rent will be covered / maintained should one of you leave.
There is always scope for misinterpretation.
If my posts can be interpreted in two ways, one that makes you feel angry and one that doesn't, I meant the latter.
Everyday is an opportunity to learn something new.