Do I stop being entitled to long-term disability benefits if my employer terminates my employment?
No. Even if your employer terminates your employment, your entitlement to long-term disability benefits will continue as long as you remain eligible since your disability arose while you were covered as an employee.
In contrast, your right to participate in group benefit plans may end if your employer terminates you. However, this is separate from your right to continue receiving long-term disability benefits.