DIY Mesh Bed Leveling approach

The only problem I see with that is there may be errors introduced by friction on the spring slides as well as tilting in the sliding mechanism. There are other trade to print mechanisms that do what you are after but use a break open style contact, like this one:

I would look into something like that instead. The break style probe will have far less errors. The main error with those style probes is repeatability of the rested position. There are some designs I have seen on tv that do well to address that. This would be the or area that would make it worth designing your own if you have better ideas to make it recenter more reliably.