Sadly there is no 'best' way. It's a consumer industry despite the name recycle. Different business will use whatever sells their service to collect and pass 'waste' on.

Then there the second recipient who will either dispose of it, or pass it to people or machines that can separate and clean parts well enough to be sold as raw material, like , plastics, various metals. No doubt a lot of circuit boards are not easily recycled and are burnt just to get the metal from them.

Then of course you have batteries in mobile devices that require another path the extract valuables.

The issue isn't around the 'best' options for the environment, which is what someone may tout but about money.

If it's cheaper to recycle than land fill then recycling gets a go ahead, no matter how efficient in actually retrieving 'raw' materials.

Alternatives may be that 'rich' nation don't want to have piles of rubbish on their doorstep and sell equipment to poor nations and then it's up for grabs

So I would question : Why recycle
There's no more room to hide the waste
It's getting too expensive to hide the waste.
There's concerns for how the environment looks
There's concern that the damage to the environment in terms of toxicity is unacceptable in some areas.
People feel good as they think they are creating a sustainable environment in terms of material consumption

It just doesn't end.

So it more that it may be perceived as better for some, at the expense of others in the short term to have electronics broken up and recycled

In the medium term it prolongs the extraction of raw materials and generates the consumer notion of a cyclical consumer indulgence.

It the long term it makes very little difference to the overall benefit to the biosphere as the newly generated waste goes on to new waste and keeps the industry on tap.