You sparked the Physicist in me so prepare for a lecture (preferably one held on chalkboards

):
When jumping there is essentially two things that matter Angular momentum ("amount" of rotation) and height.
Angular momentum is the term used in physics to describe rotation. It has a direction (essentialy the axis of rotation) and a value (essentially the amount of rotation produced during the takeoff). Angular momentum (L) relates three quantities: rotation speed (w), weight/mass (m) and moment of inertia (I) as L=mIw.
When jumping multirotation jumps we need to maximise w there are two ways to do this minimize m*I or maximize L.
To minimise m*I there are two things to consider the wheight. In this instance the smaller the better (remember this is not saying anyone should diet. Just laws of nature unforturnately). The second is to minimise the moment of inertia which is essentially a measurement of how far away from the axis of rotation your bodywheight is distributed. This is why I belive a thinner less curvy body type is more suited to quads since that body type will have a lower moment of inertia. This is also why a tight body position in the air is important.
To maximise the angular momentum aquired during the takeoff it is less simple since every jump is different. Loop is in this instance the easiest since the only way to gain angular momentum here is through the speed and the curve of the takeoff. Higher speed and more curve give higher angular momentum. But as Im sure everyone who has tried jumping knows more speed and curve requires more strength to controll since the forces acting on the body will be stronger. So a stronger body could potentially aquire more Angular momentu, and make up for the loss in weight and moment of inertia compared to a weaker thinner body. (But a body like sashas who at least for now is both thin and verry strong gets best of both worlds).
In axel, Toeloop and Salchow the movement of the right leg during takeoff also aquires angular momentum and in flip and Lutz the placement and manner of picking will influence the angular momentum aquired. The loop argument about the curve into the jump is valid for all jumps exept Lutz which essentially takes of on the "wrong" curve (at least if done properly like say Lisa T). This is why its considered more difficult than a Flip.
The arm movement will contribute some as well but comparatively little compared to the rest.
The last thing to consider is jumping height. This is verry strait forward higher jumps= more time in the air=more time to complete the rotation. Jumping height is directly given by the amount of uppward force generated by the takeoff leg when jumping. Here arm movements can also help slightly like in a well timed rippon but their contribution is comparatively small.
To sum up there is nothing stopping any bodytype jumping a quad but a thinner one will have less forces acting on the body and therefore not requirering the same strength. Since a thinner lighter body will naturally spinn faster than a heavier curvier one. The curvier body can make up for this in two ways either aquire more height or more angular momentum both of these requires strength (and good basic technique).