In my experience, aquaplaning due water depth is not the problem, oil and rubber are the key. If there is a little rain, after a long hot summer, the oily surface can become like an ice-rink.
I landed at xxxx in the Mediterranian, with barely a spatter of water on the runway, and max braking did absolutely nothing. I truly thought the brakes had failed. So we cruised down the runway at the same speed patiently waiting for the inevitable incident, until reaching nearly 3,000m down the runway which is not used much and had no deposits. And then the brakes grabbed and stopped us within 500m.
A complaint was raised, but I did not notice any difference to the surface deposits the next time I flew there.