That depends upon the training techniques being used, and how familiar someone is with the variations of the technique - it might not look like the form because it's a variant. If I showed you our Classical form for one of our techniques, you could watch for days of application work and maybe not see that form show up in application. But that would be because the attacks and responses simply hadn't led to that version of the technique. I could show you 4 or 5 variants of some of the techniques, and only one of them would be particularly close to Classical - not because of a flaw in Classical, but because we had to pick one variant to use in the form. So, for Arm Bar (a common technique, so easy for discussion), we have 6 variants (breaking over the shoulder, breaking across the body, rollover, wrap-around, reverse, and Classical) plus all the "grey areas" between those variants. If the attacks and responses I receive don't lead me into the Classical variant, you could argue that this is a problem with the form. However, if the next attack makes that variant available, you'd likely see something that looks quite close to the movements in the form.bolded part isn't true. They do look the same, if trained well. But it's important to distinguish between drills and technique. Jumping rope isn't a technique in boxing, but a jab is. And the jab in application, whether a street fight or a boxing ring, looks like a jab in training.
A scissor sweep is a basic technique in BJJ which looks the same in application as in training.
This idea of techniques looking different in application only comes up when the training stops short of application.