nope
capacity and max-sprocket are two different things.
capacity relates to how much chain length/variation it can take up and is (mostly) a function of cage length. For example with 3x by you’ve got more chain slack to take up between granny and big than you do on 2x, hence triple mechs being longer. You also need a longer cage to accommodate massive cassettes but most current mechs can cope with a fairly wide range, especially in 1x setup <– this is generally pretty spot on in Shimano specs but can be influenced by things like chainstay length so there is some leeway built in
max-sprocket is determined by the location of the top jockey and whether it will clear the diameter of the sprocket. <– this is normally pretty conservative* in Shimano specs, ie: a mech rated to 32t will normally clear 34t, and on some frames will do 36t. (Goatlink extends this by moving the mech further way from sprockets)
* In some cases massively so, I’ve managed to use Ultegra 6600 mechs officially only rated to 27/28t with 34t cassettes and a bit more B-screw wound on with no issues an acceptable shifting. Problem is you won’t know for sure until you try!