At the moment I'm running the old Ozone pull-safety bar, and was considering upgrading to the push away. I like my current system where it depowers the kite quite a bit if you drop the bar while unhooked and clipped in to the centre safety, but still being able to recover from it.

However, I noticed the new bars runs the same suicide system as other manufacturers. When you drop the bar, does it depower the kite whatsoever?

Riding "suicide on the new bar with the push away, depowers the kite by the same amount as the old pull towards release system bars.
BUT there is a big difference in safety or flagging options.
On the old system if you are clipped into the centre ring, you cannot flag the kite in an emergency, you would need to do as you say, but I can assure you thats not going to be possible in a situation where the kite is fully loaded and you need to make a split second decision. That system should be used by advanced riders only and only if they are aware of the liability.
The new system allows you to ride suicide, and unhook for freestyle or waves, same as the old system, without the risk of losing you kite if you miss a bar pass or get eaten by a wave. However the new system (like many others on the market) allows the rider to fully flag and depower the kite to one front line while hooked in, simply by operating the primary push away safety.
Definitely worth the upgrade if you are planning on keeping your bar and just upgrading kites, or even planning to continue to use you current older kites for a season or two longer.

The new push away is very clean release system.
I think it depowers a tiny bit as the slider ring slides down to the centre point of the chicken loop.
Can't say it's something I have really noticed though.

I changed over to the new system for a couple of reasons 1 so much easer to twist out crossed lines . 2 a good chunky safety.