Writing utensils definitely influence scripts. One tidbit I like is the evolution of the Burmese script.
The Burmese script was originally square format but became round and cursive due to the popular use of palm leaves (and others) as a medium: straight lines would rip the leaves, so softer round strokes were preferred [1].
The round cursive style is in stark contrast to modern Devanagari (India) where the strong overhanging line is a core feature [2] despite both scripts descend one way or another from the Brahmi script [3].
As for the OP, ballpoints have come a long way such that one could easily find a ballpoint that is sensitive enough for a Palmerian style (but perhaps not Spencerian as that genuinely requires varying line thickness).
[1] https://en.wikipedia.org/wiki/Burmese_alphabet