Ok, so it is the pedia text which is false (it say an early city attack unit). So crysfighter are like "defense-quad". I found them weak even to strike infantery outside cities. But ennemy infantry avoid attack them.
For bladesmen, they are very quick to move, because they have sandrider promotion, even if you haven't got research the stillsuit tech. Assuming you don't research just faith and fanatiscm but also some growing tech, you can always have blademen nearly in same time than crysfighter, and then, blademen are better in all, except on the middle of very large rocky area without desert to make fast move.
ps : my cris fighters don't have a +10% city attack bonus but a "ignore building city defense"
For bladesmen, they are very quick to move, because they have sandrider promotion, even if you haven't got research the stillsuit tech. Assuming you don't research just faith and fanatiscm but also some growing tech, you can always have blademen nearly in same time than crysfighter, and then, blademen are better in all, except on the middle of very large rocky area without desert to make fast move.
ps : my cris fighters don't have a +10% city attack bonus but a "ignore building city defense"