yes, but if you are only using it for a large vehicle.
let's use some common sense here, the suggested mod is not for everybody and won't work in all situations. for example, it wouldn't work on my old mid-60' Impalas as big as they are. but on a small MG or Sunbeam Tiger or Porsche?
there's even this clever solution I saw in Germany almost 30 yrs ago
A duplex garage offers additional parking spaces for two to six vehicles, even where space is limited. Discover our double parkers.
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Okay, since you suggested it lets use some common sense.
First, the lift is designed to not be bolted down. It's not necessary for stability or function. I have the same lift that I inherited from the previous owner of my property, and my experience with lifts was mainly from my dad's automotive shop where all lifts were bolted down. The product manual for this lift states that unless you're using the lift repeatedly in a service shop type environment daily, it isn't necessary to bolt it down. You also aren't supposed to bolt it down if the concrete isn't of sufficient thickness or it's too close to an expansion joint or edge in the concrete. I work under mine that isn't bolted down, mechanic work on my vintage cars, and it's stable. However, the manual does state how to properly inspect and maintain it. In fact, when I got my place the lock release rods on my lift were improperly adjusted, which I discovered by operating the lift without weight on it and inspecting and adjusting it before I ever put a vehicle on it.
Second, modifying a structural lift by adding members you think will help without consulting an engineer (ideally the manufacturer) is ill-advised. Not only are you adding weight to the lift, but you could even change the way that the columns are loaded, since the tops of them are not designed to be fixed and now they are. Going rogue to redesign the lift is actually potentially much more dangerous than using the lift within its designed parameters.
Third, let's not turn this into something it's not by blaming the installation or design of the lift or suggesting modifications. There's no reason when lowering a vehicle that if you're using common sense, paying attention, and have read the manual, you would lower the vehicle as far as shown in the OP's photos without first correcting the problem. If it's bolted down, you're putting bending stresses into the columns, which is obviously also bad. This was not a lift failure of any components, design, or manufacturing, this was plain and simple operator error. Attaching the tops of the columns together would not cause the operator to pay attention. If anything, let's hope this was a wake-up call for the OP that lifts are dangerous and demand respect.
I've experienced cable failure on a 2-post with a 6,000 lb truck on it 3 feet in the air. That was a learning experience to lower the lift safely with the truck on it. Learning to respect these for what they are, heavy and dangerous machinery, is important.