Yes, they should.
What I think MW meant is, IF those conditions are met, LIPS starts paying as soon as EK has paid the lump sum. This was in response to a question as to whether you have to wait three years for LIPS to kick in.
You don't, but the disability must disqualify you in other countries, not just the UAE.
You obviously have some reservations about LIPS. I'd be interested to kow what you think the problem is.