My question is why?
Why do you want your 281 to be an 066?
IF the 281 is in top condition internally where the gas becomes a bang, the air filter is good and clean, the fuel mix and tuning are on a dial, the chain is sharp with correctly set rakers- it should not slow the chain much running a 20 inch bar. But, if the chain is off a bit, saw not making peak power and the user is dogging in and leaning on it.....
Maybe a piston ring renewal will help your cause?
Cosmetics matter little if the internals are still in good condition- get your current saw well sorted in the powerhead with a chain sharpening that suits what you are cutting, well dressed bar and for 20"bars with 3/8th chain on both saws- there should not be a heck of a difference between the 281 and 066, taking the 10cc's into account.