Yes, Muffin, what you said will work. The bow and arrow doesn't know whether you have a 200 grn point or a 50 grn point and some solder or lead up front.
Regarding weight of arrows and proper spine: We know that heavier arrows absorb more energy from the bow. This is a good thing as it will keep the stress off the bow and keep it longer-lasting. So if you are interested in keeping a bow alive then, like people, reduce stress.
Regarding arrow lethality in a hunting situation: The arrow that flies true is more important than draw weight or arrow speed. We tend to like numbers but the truth is that a 40 lbs bow that flings an arrow true is more deadly than a 60 lbs. bow shooting and arrow that not only hits the target at a slight angle but probably lost energy wobbling downrange in the process.
You'll save yourself a lot of time, energy, and money in the future if you adopt the philosophy that you care less about arrow spine, diameter, length, speed, type of broadhead, type of shaft, etc. etc., and just find an arrow combo that shoots true from your particular bow. It will shoot farther and more accurately and will be more deadly assuming your broadhead is sharp.