UP! You gotta go up! The summit is up there, you have to go up to reach the top! If you just want to go around the mountain, consider walking; it is easier :) :)
looks like a pretty great gym! I'm a beginner in terms of rock climbing, but to me your form seemed decent - slow, purposeful, energy conserving...but yes, you need to go UP! lol
The gym is Climb On, in Homewood, Il. I purposely waited to do that line until just before they closed, hence all the stowed ropes. It really is one of the better gyms I've come across...lots of overhangs, and the setters are always putting up new stuff...I'd bet they change everything out a few times a year, which, for a gym of that size (most of it is around 35' tall and all of it is leadable), is saying something.
Most of the time I do not have the luxury of such uninhibited traversing.
Actually doing these types of link up climbing on random holds is quite fun and a good training tool. If you gradually use harder and harder holds each time around, it makes a nice training progression. As for a grade of the climb you did, it is too difficult to tell from the video, but it did look fun.
At the gyms around here, that's called 'bouldering'. They have sections with little height but a lot of side-routes just so people can practise it. No harness required, but a great way to develop technique.
It looks like you've done that route a number of times, though, and you've found all the low-level starting footholds to step across. Try looking for a few that involve a bit more up-and-down, vs less reaching and stretching. What's the maximum height you're allowed to do without a harness? Try working the same line at that height.
That's the "B" line I linked up...the "A" line sees my feet around 6-8 feet above the ground, per Climb-On's rules. I enjoy switching between the two lines, but chose to stay on the lower one for that video because it was mainly made for my family and non-climber friends--so that they can have a concept of how traversing and boudering differs from roped climbing--and I wanted them to be able to see the holds I used rather than staring up at my shoes.