I have been unable to find the video in which I recall Jon Beesley stating the F-16 chase plane needs to keep tapping burner just to keep up.
I am reminded that I have read that the F-35 possesses
F-16 like acceleration and
F-18 like maneuverability.
However, Google appears to be strong with me today:
F-35 Lightning II Flight Tests
15 June 2007 by Eric Hehs
<snip>
How has your impression of the F-35 changed in subsequent flights?
(Jon Beesley, then Lockheed Martin Chief Test Pilot for the F-35, replies)
"I continue to be impressed with the performance of the aircraft. The F-16s flying chase don't have near the fuel capacity or payload capability as the F-35. The Lightning II does very well in comparison. For example, the F-35 often forces the chase aircraft into afterburner when it is in military power.
The airplane's handling qualities continue to be very good throughout the flight envelope. When I raise the landing gear, the airplane flies very smoothly. The landing gear is sequenced, which is unique for a fighter. The nose gear comes up first, then the main gear follows. The gears drop down in reverse order. Another strong impression is that the airplane wants to fly a lot faster than we are allowed to fly at this point in the flight test program. Most of the time we fly at about thirty to forty percent of available thrust. This airplane can go out to high subsonic speeds very easily without using afterburner."
<snip>
Source:http://www.codeonemagazine.com/f35_article.html?item_id=33
Flying The F-35: An Interview With Jon Beesley, F-35 Chief Test Pilot
September 10, 2010 Author not listed
<snip>
"The acceleration of the aircraft in the subsonic envelope is very similar to the acceleration performance of an F-16 with a centerline tank on board. Often in chase situations the F-16 chase aircraft will need to select afterburner during the climb. The most impressive part of this is the performance of the F-35 with full internal weapons (two 2000-pound JDAMs; 2 AIM 120s) is changed very little."
<snip>
Source:http://www.dailyairforce.com/234/flying-the-f35-an-interview-with-jon-beesley-f35-chief-test-pilot/
Google-fu of "f-35 f-16 frontal comparison" and clicking on [ Images ] from the Google results led me to a few graphics from other f-16.net threads:
F-35 & F-16 (Block 50 +) - Comparison of frontal view. (
viewtopic.php?f=55&t=15061&)hilit=frontal+profile

and

With a little imagination, I think, to a first order estimate anyway, the x-section area of an F-35 is on the order of the x-section area of a clean F-16 (no missiles, no wing drop tanks) with a centerline tank, a configuration to which Beesley referred above.
However, if this graphic scales all aircraft correctly,from the thread
Frontal profile comparisons - F-35 vs other jets (
viewtopic.php?t=18478)

the F-35 would appear to have a greater cross-sectional (frontal) area than an F-16 with a centerline droptank, which to me, makes the F-35 performance even more impressive.
Lastly, here is an interview with U.S. Air Force test pilot Lt. Col. Hank “Hog” Griffiths:
Latest From F-35 Tests8/20/2010 by Guy Norris<snip>
"Even when loaded internally with two 2,000lb GBU-31 Joint Direct Attack Munitions and two AIM-120 AMRAAMs, Griffith says the sheer power of the Pratt & Whitney F135 is evident. “The engine has a lot of thrust. It’s been fun to outrun the F-16 (chase aircraft). They can’t keep up.
If we go to full military power the F-16 has to go to afterburner to keep up.”
<snip>
Source: https://justinwrites.wordpress.com/2010 ... -35-tests/
From the thread
What's the F-35's VCS compared to other aircraft (
viewtopic.php?f=22&t=41954 )

So, to the original question, I do not see a conflict between the two graphics posted. With regard to the first graphic, where pilots were comparing F-35 performance to other aircraft they had flown, a combat configured F-16C will have a minimum of two wing tanks, plus at least two AIM-120s, and possibly a Lantirn or other sensor pod, and another couple bombs. I think it is clear that an F-35 will regain airspeed (i.e. out-accelerate) an F-16C in that configuration.
As to the second graphic, that is saying that a stripped F-16 with no missiles and no tanks will accelerate slightly faster than an F-35. The pilot quotes I found all stated that the F-16 chase planes all had to keep tapping burner to keep up with the F-35. Typically these chase planes have no missiles (it's a flight test, not a combat or combat training sortie) and either two wing tanks or a single centerline tank. Beesley specifically compared the F-35 acceleration to being like an F-16 with a single centerline tank. I would expect an F16 with a single centerline tank (e.g. an F-35 per Beesley) to accelerate faster than a viper with two bags on the wings, but be slightly slower than an F-16 without any tanks.
In summary, without hard numbers / flight test data, all anecdotal evidence in the form of pilot quotes / interviews points to the F-35 having
F-16 like acceleration. (Which is nothing to sneeze at.)
Take an F-16, stir in A-7, dollop of F-117, gob of F-22, dash of F/A-18, sprinkle with AV-8B, stir well + bake. Whaddya get? F-35.