The big gulp could be used as a basis to be modded. When we flow test a head on the flow bench, we build up a clay ring around the port entry, and shape the clay with a nice radius, so that the entry is not a problem. I see no reason why the big gulp couldn't get the same treatment by using some epoxy dough/putty to make a radius entry into it.
Just for the record, when the opening to the airbox already well exceeds the throttle body entry size, then improvements by radius airbox entry are approaching superfluous, so it is the open area that counts most, and the radius just will smooth the flow more. If the stock air box entry is too small, that needs correction by some means. If you plan to tune the air box, then the diameter of the entry needs to be the appropriate size for the tuning.
Also, be aware that the presence of the filter element in the middle of the air box can/will break up wave activity, and could/will affect the tuning because of that. When we tune air boxes for performance, we normally have no filter in the box, and it is located elsewhere, or not present. With untuned airboxes, the presence of the filter element is not an issue, except that the critical airbox volume is measured by the volume that is on the engine side of the filter barrier.