Few early skips

I clipped by binding crouch to my scroll wheel. If you make it to the shop and the wheel falling off animation doesn't happen you might be soft locked from not running up to the orange barrier. When testing if I get out of the car immediately after warping and walk to the barrier, there is text saying turn the keys, I believe this is what prevents the softlock. The order I did things in the video prevented the text from appearing but I was also not softlocked.

During the fuel collection step, you must fill the portable can to 100% but as soon as your car is at 1% you can drive the entire tutorial without issues.

Nice find!

I've also noticed that it seems like sprint-jumping is faster than just sprint, does the airstrafe seem to help or is that just habit?

Yeah air strafe is just a habit for me, I haven't timed it yet but it feels the same as bhopping