EU160 is pretty cheap, yes, even for instruction, if with a qualified guide. I'd look into the details of it. You may have an Aspirant or other kind of trainee guide, with lesser qualifications than full IFMGA but that need not matter at this stage, for the basics.
For actual guiding you're looking at approx > EU300 a day, if that's any indication.
TBH, courses are not really the best way to learn. If you can find a friend, or similarly inclined stranger, it's much better value to hire a guide just for the two of you and have him/her give you close personal attention, for a shorter period of time than a course. There's less standing around and less pandering to a wide variety of skills. It costs more money, but it's much better value.
If you already have some skills (e.g. rock climbing) then the guide can start at a higher level and go from there at your pace. If you're a nervous beginner, they can go easier. You can get a guide for two or three days and learn the basics, then go away for a couple of days when the weather is bad, ponder on what you've learned, let it sink in, then come back for a few more days when the weather is good for some more instruction, probably involving an ascent.
This kind of approach takes a little more time to organise, you can't just buy a place online, but if you ask around and find a suitable guide, in the right place, it will be better. Some guides will actually prefer this, money aside, as (unless you're an asshole
) they usually enjoy these instructing/guiding setups more than courses. It might be easier to organise such a setup at either end of the summer, rather than high season. i.e. early June or mid-Sept rather than July-Aug.