I recently did two orders where this type of thing happens. One (an ebay order) the company sent me a notice a few hours latter that my product was damaged and no more stock would arrive for a month could they cancel the order. The other (new egg third party) there was no communication for a week despite a shipping label, so I contacted newegg and demanded a refund. I might order from the first company again, the second put a bad taste in my mouth and I probably won't use newegg at all anymore just because they are not policing their sellers.
Also ups does not notify you so don’t expect communication from them they will tell you to call your shipper. If the shipper doesn’t respond to you well... that has nothing to do with the UPS shipping process now does it.
I just realized the drop ship company printed labels early so it didn’t look like they were the slow ones. The idea is someone looks at the label sees “shipping something received” and then hounds ups for status updates and not the seller.
I recently went to work for a drop ship company and ups and fedex labels still have a preship phase. This company we had labels printed while we waited for merch to arrive 3 weeks later!