I used straight 40 wt in my Tr-6 with overdrive with good results, However, understanding the reasoning as to why some folks use straight weight, I still use 20/50 detergent same as my motor oil for my Healey with never any shifting or mechanical problems over the years! I know other Healey owners on this forum use 20/50 detergent in there Healeys as well. Thats what the factory recommended in the first place! On colder days, I always drive my Healey about 5 miles to warm the trans oil before engaging the overdrive as to not blow any seals.
I remember talking to John from quantum mechanics about 8 years ago, he said he would not warranty his rebuld of my transmission and overdrive unit for my 73 TR6 if I used anything but 30 or 40 straight weight oil. Mainly because of blowing seals in the overdrive unit if I remember correctly. Also, many people advise against driving in reverse with the overdrive engaged... I just can't remember why? Maybe someone else can chime in on that one!