I think you are correct. I believe in the saying that goes "How you train is how you act / react." I understand that.
This applies not just to sparring. Was at a weapons defense course taught by a retired Military guy. Told us how soldiers had to pick up brass on the range. Then some got killed in Combat picking up Brass.
During weapons disarms he told us not to hand the weapon back to the attacker for the next practice. Instead we laid it on the floor and they picked it up. Apparently there were instances of people disarming an attacker and handing the weapon back and the fight continued. My Ju Jitsu Instructor told us of restraining a guy in a bar while he was bouncing. The guy he was restraining was a Ju Jtsu guy as well and tapped. He let him go, and the fight continued.
So laying your weapon on the floor so that your attacker can pick it up and use it against you is preferable to handing the weapon back to your attacker so he can use it against you?