That's what I've been hammering away at DB over and over. A cap hat alone can't effectively tune an antenna without some inductance. The inductance could be in the form of a loading coil either base load or center load or a shunt coil at the feed point or both.This is what will match the antenna.
But the you say it is a contradiction though.
I think the problem here is symantics. An antenna can be tuned but not matched. Tuned means resonant. Matched means 50 ohms. Resonance does not mean 50 ohms.
This is whay I see here anyway.