I can't speak for the Scottish winter and there definitely are differences to the Alps. But still I can give you an overview what is important to learn if you are going to do alpine summer tours in the Alps.
The German Alpine Club (German: Deutscher Alpenverein, DAV) is the world's largest climbing association. The number of members is over one million. (source: "Deutscher Alpenverein"). I will therefore give you the topics which are covered by the glacier courses (courses for alpine tours). The list might seem long but I think it gives you an idea what to look for.
1. Basic course
- rope up on glaciers
- crevasse rescue
- general techniques with ropes, knots and belaying
- walking with crampons
- ice axe techniques
- anchors in ice and firn
- abseiling
- self arrest on firn
- orientation
- planning routes
- checking material
- weather
- first aid
- environment and nature protection
2. Advanced course
- repeat basics
- going on combined terrain with faces and arêtes
- climbing (leading and following)
- belaying in steep rock, firn and ice
- advanced ice axe techniques
- hitting pitons
- return strategies
- mountain rescue
- and much more...
There are additional courses for crevasse rescue which show the importance of this topic. Avalanche is only a topic in winter courses. I guess they aren't learning the topic of avalanche because it is pretty complex for itself and you are generally trying to avoid situations with a lot of fresh snow in summer. Of course they have avalanche courses but it's not a topic in those glacier courses!
My personal advice is to take a course which covers the important points from the basic course above. How to rope up on glaciers is the first thing you have to know and it's not very complicated. But still you should learn the general ideas from a professional (distances long enough to hold possible falls, maybe using knots between members, having rope for a possible crevasse rescue, NOT meeting up when you are doing a break...).
Crevasse rescue is also important, I would suggest that you learn at least one method. Under real conditions the rescue might be really tough but having stopped the fall of a companion (or even two) you could still call the mountain rescue services most of the times (still: learn how to rescue someone fallen into a crevasse!). That being said it shows the importance to actually get into this position of braking the fall, setting a deadman and so on.
To rope up on glaciers, to be able to belay correctly and to rescue crevasse falls you naturally have to learn some knots. You cover this in the fitting sections of the course. Maybe they don't write those topics explicitly in the description but I am pretty sure all will cover this. Check the course requirements though.
Techniques with crampons and ice axes are nice to learn although I don't think they are as important as the security relevant topics mentioned above. What's really important is how to set an ice screw correctly. Still, you will be using crampons in all glacier courses and you will be excited if you do it the first time. I personally didn't had big problems walking in them but you should care when you climb in them or you might get some porous trousers like I did...