I understand your idea of making the title as less wordy as possible but in terms of SEO it's not always the best strategy (never actually?). Assuming you want to use SEO as a marketing tool, your title shouldn't come from an idea you had but from actual data. You need to go through keywords on https://adwords.google.com/select/KeywordToolExternal and see what people are looking for. For the best result, try to use the words with better results on the title and every now and then on the text of the page (the copy if you prefer).
What SEO value do "small unobtrusive app" and "achieve" and "with your" really add to this page? I suppose you'd have to view what kind of conversions you get from those types of keywords, but I wouldn't imagine those keywords coming in with any sort of frequency, or delivering conversions.
I understand your argument, but it would make more sense if the heading had better keywords. I don't see this heading adding much SEO value.
You can always A/B titles and see if a shorter title adds value, and if so, weigh it against SEO value. SEO value isn't the only determining factor; it's optimizing the entire page, which may mean giving up SEO value in favor of optimizing something that delivers higher profits.
I wasn't defending the original title, just saying simplifying a title is not always the way to go. Sorry if I misunderstood your suggestion, I agree with all your points.