I would say that strong leadership doesn't have to be synonymous with a celebrity cult or an over-reliance on a small number of individuals.

But still, a party is not a social club, nor is it a mere association of individuals with vaguely similar beliefs. A vanguard party in the Leninist sense has to be a disciplined and well structured political organization. After all, we are not anarchists.

And of course a political party is not the same thing as "a movement". A party can and should have a broader movement that coalesces around it, these would be the numerous sympathizers and supporters (some of which will be more committed to the cause than others) but the party itself should be the disciplined core of the most competent, class conscious and dedicated revolutionaries.

And while the most important decisions should be made collectively, having a form of "leadership" (such as an executive council) to handle the day to day affairs and be able to respond quickly and decisively to a sudden crisis (or a time sensitive opportunity) without wasting time is still necessary. You need to put in place some well-established procedures and structures so that when the time comes there is no confusion or a big debate every time about how to make decisions and how to implement them.

This is at least the broad outline of what seems to me to have proven to be a successful model for revolutionary parties in the past. In practice we should always be willing to adapt this general framework as needed to the material conditions and the specific political and cultural environment of each country. What works in one part of the world won't necessarily work in another.