yeah this thing thats become popular is so annoying because it assume some straight arrow shot into the sun when you just want to send the item into an unstable orbit. The suns gravity well is all you need to get it into.
Even without actively accelerating toward the sun, something starting on earth is already orbiting the sun at about 100,000 km/h. You'd have to cancel that out by accelerating the same amount in the opposite direction just to be able to fall into the sun's gravity well instead of continuing to orbit. That would take quite a bit of propellant.