That's how they justify their fees and how auto manufacturers justify the rip-off prices for vehicle spares/parts
Well, it's one
possible way of using the component values from your circuit. I wouldn't say it's
definitely what the original designer would have done.
The changes from your drawing essentially are (I think):
1) swap the + and - power lines,
2) rotate the IC through 180°,
3) check the transistor pin-out and re-orient as needed,
4) 2k2 goes between transistor base and comparator output.
5) connect lamp between transistor collector and ground,
6) supply - = circuit ground.