If goal is for your sole child to inherit the house upon demise of you and wife, JTWRS will not do that "unless" the child is named as one of the joint owners. That is often said to be a no-no by planners, as anyone going after your child's assets (maybe an at fault car accident of child's, maybe child's bad business dealing, etc.) could then go after your house.
I would research whether New Jersey allows TOD form of real estate title where you could name your child as beneficiary for "Transfer on Death". If not, then your child must probate your estate including the home upon your and wife's demise. Maybe that's ok with you maybe not.
Other alternative is revocable living trust, with the house for sure titled in name of you and your wife as trustees of the RLT and child named as trust beneficiary. RLT's are "not" messy, and not necessarily expensive. My wife and I had complete package of "final estate" documents prepared (Medical advance directives, durable power attorney, RLT, pour-over will, etc.) for $2500 four years ago. My wife passed two years ago. Not much for me to do at that point. When I pass, "no" probate or probate delays will be needed. All assets will pass easily, quickly (as in almost immediately), directly, "privately" direct to three kids. And no probate expense which would cost far more than $2500. In the meantime, while I am still alive, if I become incapacitated or otherwise unable to manage my own financial or medical affairs, the package of documents gives my kids authority to handle things for me. No need for expensive or time-consuming process getting conservatorship established.
I would suggest an RLT. Benefits while you are still alive, and benefits after your passing.
