Elijah R. answered 11/22/19
I teach Arabs Arabic
This has more to do with the closed syllable context in which /s/ appears than the identity of the phoneme. Notice that the /s/ in these contexts always appears after a high vowel /i/ or /u/ but before a sonorant consonant l, m, r. I don't know old German orthography, but my guess would be the distinctiveness of a phoneme like /s/ is very subtle, and so German transcribers hear the /s/ and want to preserve its distinctiveness as a long /s/.
An open syllable ends with a vowel V, while a closed syllable ends with a consonant C. Thus, CVC words ending in /s/ were likely transcribed as long. Maybe try to find other words where /s/ is the coda in a closed syllable.
Otherwise, no, there's no etymological relationship between the 4 words.