5-6 Accessory lifts every workout? What do your sessions look like?
If you cut calories or carbs too fast, too soon, and/or too much, then your strength can definitely take a hit. But if you keep things moving gradually and more reasonably, you should be able to keep seeing progress in the lifts. That's actually a good rule of thumb to see when/if you've got the diet dialed in - if bodyweight or measurements are dropping and strength is staying or improving, you're on track.
Then keep going heavy, setting goals, and knocking them out. You may eventually have to train smarter (maybe less volume, tweaked frequency, etc.), but deal with that as it comes.
If want to drop fat, then drop fat, but do it smart. It's not generally advised to chase two different goals at once (like burning fat and increasing your bench, for example), because you'll most often see better overall progress if you focus 100% on one goal, achieve it, and then focus 100% on another goal.
That said, you're at a point where you're likely still new enough to training that you can still squeeze progress out of cleaning up your diet like you've been, while still lifting hard and consistently. I just wouldn't expect to keep dropping 3 or 4kg per month. It's nice, but it won't last forever.