The phrase "are often saddled" is correct and usable in written English.
It can be used to describe a situation where someone or something is burdened with a responsibility or problem.
Example: "Employees are often saddled with excessive workloads, leading to burnout and decreased productivity."
Alternatives: "are frequently burdened" or "are commonly loaded".
Chains are often saddled with long-term leases that are not easy to break, analysts said.
Black reality shows are often saddled with the burden of representation; see the backlash against "Love & Hip Hop" and "The Real Housewives of Atlanta".
Their companies are often saddled with debt even as the funds make rich profits, and the necessity of cost-cutting, including job cuts, have drawn the ire of many.
Their opinions are not sought or heard, and they are often saddled with more than their share of the work.
They are often saddled with expectations and assumptions about where they "should be," which often aren't grounded in reality.
Deterministic methods aimed at ascertaining the impact of design parameters on the overall behaviour of systems are often saddled with underlying assumptions that simplify the randomness in variability.
Instead the theatrically trained Mr. Lambert was often saddled by muddled, conflicting signifiers.
Fischer reminds us that Mozart's opera is, despite the gloss with which it is often saddled, essentially a fairytale.
In her 20s, she had a job as a foster-care and adoption worker and was often saddled with twice the caseload she could handle; she quit after five years, calling it "hell, chaos".
Even the absence of "a great deal of love for children in Jane Austen's work" is reduced to the author's being "often saddled with the care of her nephews and nieces".
Outside the unprepossessing state capitol, a street vendor sold me a delicious, fresh burrito filled with cabbage and stewed pork; though the food on the ship was copious and diverse, it was often saddled with descriptions like, "A rainbow of a medley of fruits," and so this ad hoc alfresco snacking seemed especially piquant.
