My, what an impressive response.
To the questioner, it's a free world. You want to Jerry-ify your Gretsch Country Gentleman? Your Rick 360? Your Danelectro '67 Heaven? By all means. Just go into it eyes open.
Some guitars just don't match up well with Jerry's music and tone. That's usually because they were designed for something quite different. Rather than force a square peg into a round hole, why not let the square peg fit where it belongs and put your energy towards copping a round peg of your own?
"Playing "Dead" is a huge part of my life, true, but my guitar playing and musical tastes are far, far broader.
I use my Godin LGX-SA for Everclear, Green Day, U2, Goo Goo Dolls, Matisyahu, Cure, Midnight Oil, I could go on and on. It excels in so many places both electrically through its Duncan mag PUPs and acoustically through its LR Baags PUP and preamp.
For Dead? No, doesn't work for that. And I wouldn't want (or advise someone else) to beat one into submission to force it.
You asked for input. This is mine. Believe it if you need it, if you don't just pass it on.
Disclaimers: I'm happy to share whatever relevant gear knowledge or experience I have. Genuflection/payment/proof of worthiness neither sought nor accepted. I don't design, build, market, sell or endorse for pay any new music product or service. I occasionally sell personal used gear. I am an unpaid endorser of SoundScaper Productions and Godfrey Daniels Guitarworks.