Sorry to hear of your experience, but myself and my wife had a completely different one last week.
Arriving from JNB in J Class, we had already booked Dubai Connect as it proved a lot cheaper to Get EK762 on the 14th (arriving DXB at midnight), and then take advantage of free Dubai Connect before heading back to Birmingham on EK37 at 1455 on the 15th, rather than getting the more direct EK764/EK39 option.
The airport was certainly busy when we arrived, but we already had our vouchers which were printed out at checkin at JNB. We were given 'Fast Track' immigration cards, but it still took 20-25 minutes to get through - at least the luggage was there waiting.
As we exited, there are no signs indicating 'Dubai Connect' so I took the view that the best place to go would be the Chauffeur drive desk, which proved to be correct. After a 5 minute wait, we were escorted to a people carrier, which took us across the road to Le Meridien (or the old Dubai International hotel as we remembered it in the 1980s!!).
Emirates have a separate check in, which was quick and painless, so we were in our room less than an hour after landing despite the immigration wait.
The room was clean & looked like it had been refurbished, although the bathroom was a little tired. We were given breakfast & lunch vouchers, but didn't bother with lunch.
Friday morning there was time for a few hours by the pool before checking out at 1300 with a quick transfer back to the airport and a painless baggage drop.
Probably all rather different from the Y class Dubai Connect experience, but at least wanted to let people know what you get from J class Dubai Connect.