A mixer in the studio is useful, but not necessary. It makes the headphone mix easy to adjust, but it's hard to justify the cost solely for that. For live sound it is a necessity. Recording and live sound are two very different markets, and unless you have a lot of time, trying to pursue both can be difficult and expensive.
You can buy that board new for $100 USD here in the US. (~70 Euros) Maybe with the typical markup on goods in Europe 85 Euros is a good deal? The only EQ I use when recording is the high pass filter button for vocals. Other than that I never use the EQ on the mixer, or the compressor when recording. Neither have enough control. For live sound I agree with you. EQ is indispensable, and a simple compressor is nice to have.