Great question — answering as the UphillTech team:
I find these gadgets inconvenient, so, I would say no real advantage. I cook pasta in a large stock pot, and remove with a spider to the pan with the condiments. I can even cook several batches in a row this way. I don't really find inserts helpful, and don't need the extra "stuff" in my cabinets. Your point about extra expense, space, and clean up is accurate. I will also add that the insert takes up significant volume in the pot, so you actually lose usable space. They are just not necessary. Spend your money on a good, solid, multi-purpose stock pot.
Full answer by moscafj: https://cooking.stackexchange.com/a/108252 (CC BY-SA 4.0).
Need it done for your business? UphillTech.