This is just a gee-whiz question, I have no intention of doing this nor am I trying to get anyone's blessing on this.
Part of remaining current to legally take passengers up in a plane is having 3 takeoffs and landings within the prior 90 days. There are also night requirements requiring 3 full-stop landings within the prior 90 days.
Some folks who don't fly often but want to take passengers up will hop in the plane and do 2 touch-and-goes and a full-stop before picking up their passengers. Those same folks might like to be thrifty and do those laps of the pattern as quickly and tightly as possible to minimize tach/hobbs time.
Here's what I'm getting at. If you were based out of an airport with 2 near-perpendicular runways, the winds were calm, and the traffic was nearly if not completely dead, could a pilot do figure-8 shaped landings so that the traffic patterns were halved? This would obviously involve alternating between left- and right-traffic, so those considerations would have to be made as well.
At an uncontrolled airport, there is some risk of surprising a plane that's not communicating. However, that risk is really not all that different than normal uncontrolled operations.
At a controlled airport, you'd have to get the controller's permission. Unless there's a specific regulation, though, I don't see why they couldn't clear you to land on 09 after taking off from 36.
The whole point of these takeoffs and landings is to ensure that you as a pilot are safe to land on runways in general. Taking off and landing 3 times on the same runway does accomplish this, but adding another runway in there makes the currency more "general", especially if there are differing runway surface materials, lengths, widths, etc...
I did assume the winds were calm, but if the winds were something like 5kts, you would also get the experience of having a crosswind. This is great because you might be taking your friends to an airport with one runway, which could mean you have no choice but to deal with a crosswind component. You don't want your first shot at this in 90 days to be with friends in the back!