So I'm going to get the electrician out and get the room taken care of.
Understand why room wire changes will accomplish nothing.
Lightning struck church steeples because wood was the best conductor to earth. Since wood is not a very good conductor, then a 20,000 amp surge also creates a high voltage.
Franklin simply connected lightning to earth via a rod. A rod does not do protection. Protection is a significantly more conductive (and shorter) path to earth. Then 20,000 amps creates a near zero voltage. 20,000 amps times a near zero voltage is near zero energy. No damage.
That is a surge finding earth destructively via the structure. Lightning can also find earth destructively inside via appliances. A lightning strike far down the street is a direct strike incoming to every appliance. Critical is a more conductive path to earth. Ground in a receptacle is insufficient (excessive; typically 120 ohms impedance). Too far from earth (ie more than 10 feet). Too many sharp wire bends. Splices. May be inside metallic conduit. Etc.
Protection is a more conductive path to earth. One 'whole house' protector connected within feet of earth ground means 20,000 amps creates a near zero voltage - like a lightning rod. 20,000 amps times a near zero voltage is, again, near zero energy.
Best protection for any house (two wire or three) is earthing one 'whole house' protector. A surge current permitted inside will find destructive paths via appliances. That Tripplite putting a surge on a neutral or safety ground wire only gives a surge even more paths to find earth destructively via nearby appliances.
Protection is always about no current inside the building. Protection is always about earthing BEFORE that current enters a building. How protection has always been done even 100 years ago. How protection is implemented in any facility that cannot have damage.
If that current is permitted inside (ie inside the room), then it will hunt destructively for earth via nearby appliances. Nothing inside will avert that hunt. Nothing. Again, protection is about earthing BEFORE that current enters the building. The only solution always used where damage cannot happen.
Put numbers to it. A tiny 100 amp surge enters the room. A Tripplite connects that current to all nearby appliances. And to a ground wire going back to the breaker box. That ground wire may be 0.1 ohms resistance. And 120 ohms impedance. !00 amps times 120 ohms is something less than 12,000 volts. At 12,000 volts, the surge will hunt for other paths to earth. Ie destructively via nearby appliances. Protection means earth ground - not a safety ground provided by a wall receptacle.
One 'whole house' protector (if properly earthed) means a surge does not hunt for earth destructively inside. Lightning rods (if properly earthed) means a surge does not find earth destructively via the building. In both cases, protection is defined by the low impedance connection to earth - not by a protector or lightning rod.
Your electrician must upgrade earthing electrodes and their connections to both meet and exceed current code requirements. Safety grounds (to receptacles) are irrelevant. Connect a 'whole house' protector low impedance (ie as short as possible) to earth ground. Even a sharp wire bend compromises protection. A protector or lightning rod is only as effective as that connection to earth. Earth ground should have most of your attention.
BTW, the Tripplite does not even claim to protect from destructive types of surges.