Pat,
I will only speak for one green, but it's history may shed some light on the subject.
Meadow Club in Marin Co. CA. is Alister MacKenzie's first course in America. It opened in 1927. In his description he makes note of the greens being large like St. Andrews.
Meadow Club has a number of 1927 photographs of the #9 green and even an excellent quality 32 mm movie from opening day. The green was large, aprox 9,000 sq. ft., slightly rectangular - longer from front to back than left to right, with very slightly rounded corners. The green is situated on a slight up-slope which makes it look square from the fairway. The green was reduced in size and rounded out for economic reasons during the early thirties (Great Depression), and early forties (WW II). Early fifties saw a Green Committee "frame the green" with a left side bunker placed on a mound that kicked balls toward the putting surface.
On most of Meadow Club's holes, the tee shots while looking intimidating, have fairly generous landing areas. MacKenzie achieved difficulty with his greens and surrounds, rewarding one who placed the drive in the right position in the fairway.
The #9 hole was then (435 yards), and now (465 yards) a long par 4. The difficulty was with the drive. A ridge narrows the fairway at 220 - 240 yards. It had two bunkers on it and another slightly shorter on the right side. Today the bunkers and ridge require a 290 carry and the right bunker is at 245. Then. as now. MacKenzie gave both a substantial risk-reward for one who cleared the bunkers, or else required a safe, but 200 yard second shot.
I believe that the easier the tee shot the harder MacKenzie made the green. On #9 he designed a large square green (certainly a square green has more putting surface than a round one with the same width) with helpful surrounds, because the first part of the hole was so difficult.
Mike DeVries beautifully restored the hole to the original in 2003, lengthening it some 18 yards on the tee to keep the ridge and bunkers in modern perspective.
So, at least one green has been restored to square, and at least one club and architect not reluctant to think that the greats of the past has some reasons beyond convention for what they did. Last note: The restored hole has received rave reviews.
Nels