Secondary weapons and pistols only are techniques that a lot of players will use to practice.
Secondary weapons are inherently less accurate/powerful making it more difficult to use them than a primary auto. By mastering their use you can improve your primary auto.
Pistols help to keep players from spamming and to learn a better firing pattern. Some of the best advice I've been given by dragoonslayer is to fire your auto like you were firing a beretta. When I do that I hit much better, just have to concentrate to do it under the pressure of a match
Being a good medic and using good tactics are always important, but they are things you can be working on in any game you play (especially if your normal load-out includes being a medic). Having a specific day for each isn't a bad thing though.
Only thing I would disagree with are Thursdays. The grenade launcher really has no place in competitive UrT, unless two teams are extremely unmatched and one is just screwing around. However, HE Grenades are a good skill to have and they can be very valuable in stopping an overpowering rush or taking out camping enemies. Possibly practice with HE grenades but using a normal primary could be more effective.