In reply to zola:
Not that familiar with the Pulsar. So will answer a bit more broadly.
In practice you'll have about 3 real options.
1) Wild blocking and water resistant softshell with fleece backing. Think of the Patagucci Northwall, 'Ryx Gamma MX and so on. As stated will insulate a bit (or a lot, depends on the jacket), block most of the wind and keep you relatively dry... unless you have a habit of climbing below showers and/or leaning against waterfalls or damp snow.
2) Wind blokckin and water resistant non lines softshell. See above, 'cept that they don't really insulate at all.
3) Hybrid softshell. Like 'Ryx Alpha Comp, OR Iceline or Patagucci Mixed Guide. Mixing waterproof hardshell or softshell with non waterproof softshells. Can be rather good, stellar or adequate.
My pick for the last 3 or so seasons has been the Mixed Guide, it has served me will in Scandinavian icefalls, early season wet-tooling and even a week of Scottish winter.
https://instagram.com/p/jwrBfSKlOj/
https://instagram.com/p/zaCekbqlHy/
Oogling at TobyA's test Alpha Comp, I think it's a bit better than the mixed guide.