It depends on what you mean by performance...
In a straight line (assuming the tyres are the same width) the the one with lighter combination of wheel and tyre should be faster (all other things being equal)...
In other situations, if the road is very smooth, you should, in theory, be able to generate higher cornering forces from a tyre with a lower profile... but you would need to factor in the geometry change (camber/castor/toe) on suspension deflection when cornering...
On a bumpy surface, you may well find the higher profile tyre would be better...
That's all theory, though, you then need to consider the way the car feels on each... and that's very subjective... you might find that two drivers can extract about the same performance out of both setups...
In reality, I think you'd find the difference is too small to measure...