I was previously a huge skeptic on this topic but have had my own experiences which for me 100% confirms their existence.
In some rural areas it's a known fact amongst communities that they coexist (melanistic leopards, pumas and lynx are the three breeds sighted in the UK). But no one wants the front page Mirror or Mail headline and a load of mavericks with guns out roaming their quiet footpaths or fields where the locals are walking their dogs or farming.
Also if you're a relatively normal person, with any level or reputation or professional standing, there is really little incentive to contact newspapers with details of your sightings.
There's plenty of evidence around in the right circles - photos, footage, recording of calls, scar and hair samples, but very little of it reaches the public domain as most people with a genuine interest believe it is better for the cats to be left in peace as long as risk to people and livestock is not too high.