Had one of these over 20 years ago, along the lines of the one you linked. It was positively useless. Never again. The air in your home becomes saturated with water so quickly, and your clothes stop drying because the air can't accept any more moisture. A lot of heat comes out of the vent, ice or an ice pack would be done in less than 10 minutes, you'd drive yourself insane putting new ice in to condense upon, even if it worked, which it doesn't.
It might work if you put a couple of dehumidifiers in the room with it, but there is just so much moisture output from a dryer I am certain it would overwhelm them in short order because they are not built for that crazy level of moisture. Also, even though your dryer has a lint screen, a ton of lint makes it out anyway, quickly clogging the one in the kit, messing with the throughput. So you take the filter out of the unit so it can breathe, and lint gets absolutely everywhere. It sucks. Don't do it. Live with the outdoor noisy vent until you can save for a heat pump dryer. Don't waste your money.