I'm no expert even though my 1st job was in textiles and, for a few years, I supplied Gore with a particularly important component for the waterproof/breathable Gore-Tex.
I tend to only wash my waterproofs when absolutely necessary. My experience is that, even with "specialist" washing chemicals, the surface treatment (DWR or similar description) invariably deteriorates and the clothing never performs as well as it dd when new.
I've used/use both "wash in" and "spray on" treatments (often both) and it still doesn't restore the original performance; the outer surface wets out more easily and the fabric doesn't breathe as well as it did because of this.
See my post on this thread for my thoughts on DWR:-
https://yacf.co.uk/forum/index.php?topic=127141.msg2849700#msg2849700Having said that I only wash my waterproofs when necessary, it's worth bearing in mind that the "old style" Gore-Tex fabrics have a hydrophilic/hydrophobic layer to prevent body "secretions" ie fats from blocking up the micro-pores on the expanded PTFE membrane. These fats will build up and, in time, reduce the breathability of the fabric so you need to wash the garment.
Please bear in mind that I'm referring to the "traditional" 3 layer fabric, I'm not sure how the "Shake Dry" material works although I could hazard a guess. I'm also not entirely sure of the construction/mechanism of other types of waterproof fabrics except I'm pretty sure that most of them rely heavily on surface coatings to give the DWR effect.
There's a balance to wash/not wash somewhere; I'm not sure where........
FWIW, the best waterproof that I've owned was a Howies Long Way Home jacket. I replaced it when the taping on the seams started coming off. The (partial) replacement was/is a Sportful Fiandre jacket which is a soft shell. It's really good and I know that it doesn't rely on a surface coating for it's water resistance/proofing since it wets out immediately but still seems to keep the rain out (albeit I haven't tried it "proper" rain). My thoughts on the Showers Pass jacket are given above; I'm not sure what future use it will have on the bike........ My other (current) waterproof is a Galibier Tourmalet 4 jacket. I bought it as a cheap replacement for the Showers Pass and based on the road.cc reviews. It's very good (outstanding for the money) but I have issues with the sleeve fastenings and water wicking up them. In a "prolonged" test last Sunday, my sleeves and arm warmers were wet (wicking presumably) but the rest of the internal surfaces of the jacket were dry. FWIW, I wore my old Gore-Tex over trousers (see the link above) and my legwarmers were completely dry.
Finally, to end a
very long post, I only use liquid soap to wash all my clothes in the washing machine. That way I can avoid the recommended high temperature "flushing" before washing waterproofs and I use the same soap to wash the waterproofs.
I still get crap results albeit no different to when I used specialist waterproof cleaners (Nikwax, Grangers etc).
In summary: enjoy your new waterproofs. That's as good as they'll ever be.