"Applying" and "already employed" are different scenarios. At the Application stage, most companies will insist on an unrestricted Class one. Clarify, very clearly, your medical status ensuring that the OML is acceptable at the application stage.
Once employed, most companies will accept degradation (going bald, bursting out of your size 28 inch waist uniform trousers etc) and OML's unless really restrictive. from the Crew rostering perspective.
Continuing with a company accepting an OML is another thing when compared to leaving an applying to someone else. The new Company is unlikely to accept your existing OML.