This is one of those ideas that comes around every couple of years, over and over.
And it is quite plausibly a good idea in certain circumstances, like your martian rover (AA doesn't service there), or in a war-zone (where a flat would be bad for your health), or a wheelchair (where you're literally stranded)
However every time, the idea never takes off because pneumatic tyres just work better.
The best way for you to make your own judgement is to ride some. Note that some bike shops refuse to fit airless tyres, so you might have to fit them yourself.
If you can't find any to buy, its possible to make your own solid tyres. Watch this for an example:
You will need a mold, the correct rubber, and a pressure pot big enough for the mold.
Another solution is to get the tyre used on a penny farthing or a light wagon tyre. They come in a roll and you secure a loop with twine/string.
Another way to trial this is to inflate your tube with water. If you got your tube filled 1/6 with water it would essentially be solid, for the purposes of slow speed riding. Slow speed and consistent velocity allows the water time to flow down, while at high speed the water would line the outer edge of the tube exactly like a sealant in tubeless.
To do this, you use a track pump and stand it in a tub of water, it will inhale and pump water down the hose into the tube. It is immensely harder work than pumping air, and your pump will need a disassembly, clean, and re-grease after ward.
The air also in the tube should be inflated to whatever "normal" pressure is for your wheel. The water will not compress, and will sit down the bottom to provide the solid feeling.
Naturally this wheel will be just as vulnerable to punctures as a normal pneumatic tyre, the whole point of this is to experience a "solid tyre" feel without the cost.