For a person to ascend as a [Vessel], is it enough to have a Connection with the Shard, or does their general intent/mindset have to align with the Intent of the Shard (like Rayse and Odium have both shown similar mindsets)? If the intent needs to be similar, how did Ati, who was described as a kind person, pick up a Shard like Ruin? And if the intent doesn't need to be similar, how did the people at the Shattering manage to ascend, as the Shards had just been created? Did they have to go through some process to create a Connection? Or did they all somehow already have a Connection with Adonalsium (and thus with all the Shards) which made it easier to Ascend?
Yes, there did need to be some Connection created--there was a lot going on with this. But it is possible for intents to not align and someone to take a Shard. It's way easier if intents do align, but humans don't tend to align 100% to any specific intent.