Yep but look at the accident statistics and see where the real fatal dangers lies.
CI by far the most likely screwing up with your plans is that the viz will drop. This morning RVR was down to 50m I believe. That extra 55ltrs will get you way way past the coast and into France or back to the UK. Or you could use it to reduce your exposure to risk by taking a shorter crossing and running down the French coast. Which with the speed of the cirrus won't actually add that much extra sector time on if your coming from east of SOU.
However you might well take comfort from the chute
Well that pretty much is the only thing it will give most people. Compared to having an extra 55ltrs of fuel onboard and the amount of risk that it reduces by having it.
Go to AAIB
Air Accidents Investigation: Publications & Search Reports
And do a search over the last 30 years for "fatal" for GA aircraft.
Your kidding yourself if you think the chute is going to give you anything more than a natscock benefit.
As another poster said stop eating pies and icecream and you will reduce your risk more than having a chute.