Should it be "their services will be immediately terminated" instead?

"When investigated, passports are confiscated and they cannot return to Malaysia, which will cause many problems and sometimes when the employer finds out, they will be immediately terminated,” he said while speaking at the breaking of fast event at the High Commission of Malaysia, here, tonight.

Should it be “their services will be immediately terminated” instead?

If I understand it correctly, it’s fine as-is. It’s the employee who is terminated, not their services. Services can be terminated, but I don’t think that is what they mean.