There may be no physical contact but induction still causes energy to be extracted from the line.
Now the disadvantages: most electrical equipment and the human body are not build to function in a continous (as in always present) electromagnetic field.
They literally are. The Earth has a continuous magnetic field, and has done for the entire history of the human race
"most electrical equipment and the human body are not build to function in a continous (as in always present) electromagnetic field"
That's a false statement.
The implication behind your statement is that the magnetic field from a power line is significantly more than the field from the earth.
Earths field strength is 25 to 65 μT [0]
A 400kV line according to this [1] says the maximum field is 4uT, maybe upto 6 for some tower designs. That's an order of magnitude less than the Earth's strength, although it is well above the typical daily variations.
[0] https://en.wikipedia.org/wiki/Earth%27s_magnetic_field
[1] https://www.emfs.info/sources/overhead/ohl-calculating/calcu...
Yes. We're also getting fairly intense electromagnetic radiation around 12 hours per day. We call it "sunlight", and and the photons are far more energetic than anything coming from power line frequencies. E = hν, and ν for visible light is around 400-800 terahertz, while power line frequencies are 50-60 hertz.
https://www.newscientist.com/article/dn7460-large-study-link...
Some sort of electrostatic attraction of pollutants is another idea that gets floated.
Your cellphone transmits at 1 watt and you put that at a distance of zero from your brain and reproductive organs.
If you are worrying about power lines you should worry about cell phones too