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I got tons of Cisco routers, cloud storage, and other devices. Many of the boards are telecom but have transformers and other heavy junk on them. I'm wondering if they are worth breaking off the junk to get a telecom price or what these are worth as is. Any input is appreciated.

As a very general statement.
Removing junk. Always helps to upgrade or maintain the grade of a PCB in question.
Large transformers,metal brackets, heat sinks,metal standoffs,heavy shielding. Those are not friendly items to leave on a PCB you intend for a High Telecom grade. Or single or multisocket server motherboards.
Now. Is it worth it to clean? Only you know your own labor costs.
Intuitively. I would think yes. But. I also have never dealt with a ton of PCBs I had to sort and process.
Here to learn like everybody else.
My evaluations are my own opinion.

The ports you can leave on since those have some gold pins - the heat sinks, transformers, face plates, anything steel, etc... can come off to upgrade the board