No, it doesn't. Tuohy specifically concedes the stretcher see saw could have come from anywhere in the ER area, including Trauma Room 2. Your video conveniently omits that portion of the HSCA interview. Tuohy said nothing inconsistent with CE 399.
The origins of CE399 are inconclusive. Neither Tomlinson nor Tuohy confirmed that it was Connolly's stretcher.
The fact is, no one knows for certain how CE399 ended up on a stretcher at Parkland.