Honestly I never checked about if polarity matters on points but I am the Capacitor is electrolytic which are usually polarity sensitive.
The problem is parts availability lately on about everything. And if they are available want an arm and leg in return for some of them.
Working on a Gravely HD52 here that needs brake cable final pull off springs. Heck the cheapest not counting shipping is $28 each. And forget checking Sears as they asking double that price. So I am going some aftermarket springs which just got the spring right on which was $3 each. Then it is the terminals that got to replaced, a voltage reg, and front spindles bushings. Must be one rough yard the operator cutting as all four bushings are busted.
And I got to keep the cost down as the owner is a cheapskate.
What kinda pisses me off is that I got a Gravely factory in my county but can't buy parts direct.