I love the QRP concept, but I would not participate in a contest... I do want to "talk" to people.
Back in the day some countries only let their hams talk about "matters germane to the amateur radio service", so signal reports, rig talk and antenna talk was all you'd get out of them. It's good that it's been softened up most places.
With CW you should be able to have ragchews on QRP. I've been working mostly QRP SSB lately, and I've ragchewed a bit with nearby stations, but whenever I get a longer distance contact I want to keep it short on purpose so the other guy/gal can take advantage of the good ionospheric conditions and work more people. I'll often keep listening to the following contacts to learn more about the operator, and those that I talk to more than once I can ask if they got the virus cleaned from their daughter's computer, ask where to get the schematics for that homebrew amplifier we talked about last time, etc.
If you like to both share more meaningful contact, and talk to many people at the same time, consider checking into a net.
Do you K1 owners find the noise blanker useful? I don't think I'd need it, since I want to operate from the "boonies."
I don't have a K1, but I'm in the boonies sometimes and in the summer it has electric fences, causing time-predictable spark gap clicks that may or may not be tuned by the length of the fence wire.