The whole funnel thing is lazy illustration. It’s a convenient way to show “really deep gravity well” by dropping the funnel off the bottom of the illustration.
When a large mass bends spacetime it’s actually more like this - but it’s a lot harder to depict “really deep well” this way.
Now, imagine all those lines being bent even more the closer they would pass by the center. You may *think* “but they’ll come out the other side” - but that’s only true if you’re stuck in a flat Euclidean 3D space like we evolved to live in.
The gravity field around a black hole is so strong that distance doesn’t behave like you expect - even if you bend those lines in the picture 3 or 4 or 10 times further towards the center, they still won’t stick out the other side - they won’t even reach the center. You draw a new line closer than the ones in the grid in the picture, and you bend it more and it still doesn’t reach the center. Draw one close enough, and you need to bend to (nearly) infinity to reach the center…
Fortunately, the event horizon shields us from the *real* weirdness inside…
Some of the other answers have the recent imaging of the supermassive black hole in the galaxy M87. The actual hole isn’t visible, of course. What you see is the radio waves from the area just outside the event horizon. Why did they image a distant black hole and not the one in our own galaxy? Partly because M87 is actively chowing down on stuff that’s falling into it, and the accretion disk is emitting all sorts of light - everything from radio waves to gamma rays. Meanwhile, our own galaxy’s central black hole is relatively quiet, because it’s already chowed down everything that passes too close to it, so it’s relatively quiet compared to M87.