about (sqs, dynamodb stream) -> lambda batch size

Hello, I'm learning about (sqs, dynamodb stream) -> lambda. My question is

if my lambda's source (sqs or dynamodb stream) batchSize is set to 10000(using maxBatchingWindow) and total payload byteSize is over 6MB(lambda max payload for sync invocation),

does lambda automatically split batches into 6MB payloads and run seperately? So don't need to think about byteSize exceeding 6MB when setting batch size, is that right?