I would say it very much depends on you and the horse in question.
I have worked with multiple draft breeds and one thing I found common among all of them is they really require a strong leader to keep a harmonious relationship going. This doesn't mean be rougher with them or anything, but more confident. Every draft I have ever met will, eventually, take advantage of someone who is timid or even a bit fearful of them - they know exactly how big they are and it is their terrific temperments (as a general rule) that are to thank for them working with us... But most are not completely above temptation.
That said, my hubby's first horse (and he has little real horse experience, but was raised with livestock) was a Clyde stud colt... Now stallion. It has worked because the match of personality is right on. This horse has a more dominant personality which meshes well with my totally fearless and (some might say) stubborn but calm hubby. Whenever this colt got ideas about taking control, he was corrected and life moved on, the result is a really quiet, well mannered stallion. If he had been my horse, I probably would've sold him years ago. (The two of us, in spite of my horse experience, do not get on all that well at all. I am a bit more assertive and higher energy. .. Our relationship is somewhat comical at times as he enjoys coming up with ways to avoid doing what I ask, I swear, just for kicks... Never really in a dangerous or aggressive way, just in that truly annoying, dread having to work with him because it's "work" kind of way)
I have also met several people who have bought drafts or big draft crosses for their first horse, on the conception that they are calm, placid and very gentle animals... Only to find they can also be willful and stubborn.
You will not strong arm them into anything... And if you come on too strong they will often turn into big, unmoveable, horse statues. They also have the patience of Job... So when they have made up their mind not to do something, it's often a real challenge to change it.
Less reactive? Often, but Not always. My mare is as sensitive as any light horse I've met, and more than some... Caught me by surprise (yes, *hangs head in shame*, I bought a draft thinking she would be kind, quiet and gentle... And found out she is kind and gentle... But not especially quiet and rather "easily offended" - which means our relationship has had some... Large potholes and speedbumps... We are finally coming to terms with each other, it's only been 7 or 8 years... LOL). I love her to bits though, even reactive as she is (and that trait is not entirely unwelcome... She is the easiest horse in the world to work around because she will move, go, turn at the softest cue...), I trust her over most other horses to do everything in her power to not hurt me.
So just really be honest with yourself about your personality/expectations, go meet and work with a few drafts and see how it goes before deciding one way or another. You may find a draft is exactly right for you, or that you want something else.