If any of those compounds are heavy/high-intensity and/or they use your core for stabilization (ie making sure you don't fall over) or moving the weight, I think you'd be increasing the chances of injury, especially if you're intending to keep your weight/set/reps the same as when you did those compound lifts first.
I personally wouldn't put core specific exercises before many compounds for this reason.
Maybe you could program a day that is focused specifically on core, so you can put some of these exercises first in the routine on that day, without potentially compromising your heavy compounds. For me, my current routine has a chest/core/calves day where I only do some DB flies and then do some core work and finish with DB calf raises.