If you're interested you should go for it, however, think about your price ceiling and set it beforehand. That helps minimize buyer's remorse--even though with something like an LX it wouldn't be too difficult to turn it.
Here are other considerations for you:
POTENTIAL CONS (relative to the user)
1. They are harder to maneuver than many other canisters due to their weight and lack of wheels--using only runners like all the previous models (the late LXs and LXIs had wheels), although wheel attachments may be added. So think about whether wheels would be a preference for you.
2. Some early LXs do not have a calibrated dial to retard or advance the automatic ejection system. Therefore, the bag will eject whenever the air flow setting triggers the function. This may result in premature or delayed ejection. Actually, the former problem could be circumvented by the use of a piece of metal, called the "basement and attic key" lodged over a protruding lever. Another member recently stated that if the key is absent a golf tee may also serve the purpose.
3. They are typically not equipped with a power nozzle receptacle, so this would need to be added if you desire.
4. The bag ejector can harm you by mistake or carelessness (perhaps it is why Electrolux did not include the mechanism in later cleaners).
PROS FOR COLLECTORS:
1. They are a slice of '50s Americana covered in teal leatherette with a debossed diamond-shape pattern.
2. Their rectangular design was a major style change from the rounded bodies. It wouldn't be repeated in a similar design until the Model 1205's introduction in 1968.
3. The LX was the first canister that used the cursive Electrolux wordmark: most of the LXs had the red letters on the yellow background while the late LXs and LXIs had the embossed aluminum. Preference is according to individual taste (I don't care to force my personal tastes on others and don't care to have others do so to me). The cursive wordmark would be used on canister cleaners until the Model 1205 which sported the iconic boat-shaped logo featuring capital serifed letters. The cursive wordmark was temporarily revived in a modified form in the early 2000s before the company was renamed Aerus. The Lux 9000, Lux 7000, Lux 5500, Lux 5000, Lux 4000, and Lux 3000 (canisters and uprights) all bore it.
4. It is compatible with a tool Companion, an onboard tool holder. One would have to wait until the introduction of the Epic 6000 SRs in 1992 before Electrolux again provided onboard tool storage. (Note: the Model XXX Companion fits on its rounded shape, and the Model LX Companion fits on its rectangular shape).
5. Most LXs have a convenient bag storage recess on the bottom of the machine where several bags may be stored for convenient changing--particularly if one happens to be on a different level than where the majority of the bags are stored. (Late LXs and LXIs lost this feature to the preferred caster that allowed the cleaner to glide along like a feather duster.
Hope these ideas help. Do post a photo or two of your LX or LXI if you purchase one or both! Another idea would be to post a Youtube video. Surprisingly, there aren't many that feature either model.