The soft hyphen should not appear (except on words broken at the hyphen position). Text-based browsers need to filter it out, as terminals behave in different ways when they get such a character. Paragraph with a soft hyphen between each pair of letters:

ab­cd ef­gh ij­kl mn­op qr­st uv­wx yz­ab cd­ef gh­ij kl­mn op­qr st­uv wx­yz zy­xw vu­ts rq­po nm­lk ji­hg fe­dc ba­zy xw­vu ts­rq po­nm lk­ji hg­fe dc­ba

ab­cd ef­gh ij­kl mn­op qr­st uv­wx yz­ab cd­ef gh­ij kl­mn op­qr st­uv wx­yz