Just poke it in straight, there's no tension / pull on the lead & the spring should hold it in place. If you loop it around it'll be harder to remove down the track, and ultimately will fatigue the solder, shortening the wire. (assuming folk keep bending it)
And 100% agreed! very Heath-Robinson for Honda, but guess they just bought the part in.
Doesn't need to be especially secure as very low current, and if it falls out no short will result. (rather a permanently ON neutral lamp)
Simon