That all depends on the radar facility, some may have ASR9 and some don't.
Going to Hilton Head from MDW last year we were IFR getting shot right through a green mass of virtical violence. ATC said a 210 was 20 miles ahead with no complaints. Are AI was tumbling and I knew I was dead, We were shooting through a 40 mile spread on the SS but the moderate to severe turbulence was enough to fracture your skull.
When we finally broke out we had another squall line to cross. My GF had about 6mg of Xanax in her otherwise that would have been a short relationship. This storm spawned 15 tornadoes that day.
What's weird about level 5 stuff is that you can be in clear air and pick up 1" hail 20 miles out from the anvil head. When the first rock hits, it gets your attention.
Bottom line, give them a wide birth, if you find your way into one slow to Va and disengage the AP and do a 180 before the windshield shatters.
I was in a Barron and we were struck over Meigs feild in '84 putting a 4"hole in the right wing exiting through the tail, Very loud and quite when the radios died, Alwaystry and fly with uplinked wx with a good SS and give Midwestern storms the respect they deserve. They really are no big deal if you fly right at them and land just short, they are usually fast moving and lift off when they pass.
One day you will find yourself in this situation, fly the airplane, slow down and execute a 180 and land until it blows over. I have never been so scared and busy in my life, my biiggest mistake was having my CFII do the briefing telling me we "should" be ok. Never rely on ATC for wx, get that from an ICO from a local FSS.
Hope this helps, also get weather flying by Buck, it's a good read.