In Mishnaic times even Rabbi Judah - who edited the Mishna itself - was often over-ruled. Centuries later even Maimonides position was not always accepted. If Elyashiv's passing allows more diverse and moderate voices to emerge, that'll be for the good. If those looking to take the leadership compete to see who can be more strict "as Elyashiv would have demanded", that camp will see only more trouble, and many will be even more turned off to Judaism.
Israeli forces demolish illegal houses, power infrastructure in Palestinian village Aqaba (Haaretz)