Here is what I see on Iberia's website, doesn't this mean that all long-haul arriving passengers have access to Velazquez?

There is a VIP room at T4S
The VELÁZQUEZ Room is located in the middle of Level 1 of the T4S building, at the end of the stores and restaurants area. The room is available 24 hours for our customers of international non-Schengen flights that arrive during the night, so they can enjoy the service they are deserving of.

I am arriving from JFK at 10am and fly out to Barcelona at 3:50pm, wondering if I have access to Velazquez.