Lucid, in particular, garnered much excitement when "it remained on schedule" to deliver its first products to customers at the end of last month.

-----------------------------------------------------------------
What does 'it remained on schedule'?
Does that mean its first products delivered to customers as planned?

no, it means that the schedule they were following included delivery of product.

It sounds like there had been some controversy or uncertainty about on-time delivery, but they were adhering to the previously announced schedule.