This sentence gets thrown around a lot by people who are entirely misinformed on the EAP. It is incorrect. Yes, the EAP never ended up flying with weapons or radar, but there is abundant proof that the airframe was provisioned to carry them should the need arise.
A large proportion of existing source material on the EAP makes mention of the fact that while no live munitions and/or combat avionics were carried, the airframe was provisioned to be able to mount them:
British Aerospace EAP Promotional Material. This is a
primary source. Full document in Sources section.

Extract from British Aerospace EAP - Aeroguide Special, Page 26

Extract from British Aerospace EAP, Warplane Information Card
Extract from British Aerospace EAP - Aircraft of the World Spec Sheet
The EAP Contract
It’s well established that when it came time to build the ACA/EAP flying airframe, the Italian and German governments got cold feet and pulled out of the program, leaving the British to carry on alone.
But this isn’t entirely fair. Although the Italian government pulled their funding and support, Italian industry, predominantly represented by AIT, stayed in the program, funded out of their own pockets.
Why is this important? Well, because among several other development commitments, a particular aspect of the EAP demonstrator program that was designated to the AIT on the finalised (not initial) contract and work-share agreement was Armaments.
If there were never any plans to arm EAP, and it was never considered at any stage of the design or build process, why would Armaments feature on the finalised EAP contract and work-share agreement?
An extract from E.A.P. The Experimental Aircraft Programme, Alan Seabridge & Leon Skorczewski, 2016
The Cockpit
Very simply, the cockpit, specifically the joystick, of the EAP was outfitted to launch weapons. The EAP joystick (bespoke to the EAP, not re-used from another aircraft or a prototype for a future aircraft) was installed into the plane with a Weapon Release Push Button And Cover Guard. The inclusion of this within the airframe clearly indicates that it was designed and built with the intention of potentially carrying and utilising munitions. Why would a dedicated weapon release button be included on the airframe if there were zero plans to arm it? It simply wouldn’t be.
To reiterate. The EAP joystick, purpose built for the EAP, never flown on any other aircraft, before or after the EAP, had a Weapons Release button.

Figures from E.A.P. The Experimental Aircraft Programme, Alan Seabridge & Leon Skorczewski, 2016
The Pylons
This is undoubtedly the single most crucial piece of evidence showing that the EAP was designed and built with the potential of carrying an armament.
Each wing of the EAP was built with 3 metal ribs, 6 in total, each containing an internal pylon attachment point (the purpose of each of which is to mount a pylon and stores to the aircraft wing). These ended up never being used (none of the dummy missiles were mounted on these pylons), but the fact they were built into the wing structure proves beyond doubt that the EAP airframe was designed and built to carry armaments.



An extract and figures from E.A.P. The Experimental Aircraft Programme, Alan Seabridge & Leon Skorczewski, 2016