I think new Angraecum growers should repot more confidently
 

My first non-phal orchid was a tiny little Angraecum elephantinum. Like a lot of new growers of the genus, I was very hesitant to repot it for the first time because I was told that the genus likes to sulk for a really long time after repotting.
When I eventually gave in and repotted, it's growth didn't slow down at all (which is to say, still at a snail's pace).

More recently I also got a gigantic A. superbum. This one additionally underwent a long bareroot shipping process, but after I potted it, immediately continued growing like nothing happened at all.

Angraecum seem to have not very many roots, so I was super careful to not break any during repotting. I think as long as you are too, you're unlikely to encounter problems when repotting.

I think a big thing is - just like with bifoliate Cattleyas - repot when new roots are growing!

I find that if you do break or crack roots with Angraecum, just let the roots dry (and heal over) for a day or two before potting (or getting the medium wet).
Fussy Cattleyas can be potted at odd times if you keep the roots exposed to as much air as possible while they adjust. Just set them on top of the medium with very loose medium around the roots, with wire or stakes to keep them in place. Once the roots grow into the medium on their own, you can put more medium around the roots.

I do prefer to pot up orchids at the beginning of a growing seasons but sometimes you cannot choose when the orchid needs to be potted....

I too think they're a little more tolerant of repotting than they have a reputation for being. I agree with SFLguy that, like the bifoliate cattleyas (which definitely DO deserve their reputation for being troublesome if repotted at the wrong time), you're probably much better off waiting to see new root growth initiated before a plant gets repotted.

Havvocity, my experience with Angraecum superbum is similar to yours. This species (along with its "cousins," eburneum and longicalcar) is pretty forgiving when it comes to repotting.