I ordered a couple sets of pickups (P46 + J45 and J45 + J 45) from Becky about three years ago and had no problems. Yes, it took a little longer to receive them than quoted, and yes I did have to communicate exclusively by telephone, as Bill & Becky were/are old-school and not exactly e-business savvy. But while I've not had experience in dealing with Becky since Bill passed away, frankly I would be amazed if she doesn't ultimately follow through.
Here's the main thing I want to say: Though all of your concerns and complaints are apparently well justified, you may nevertheless need to temper your expectations somewhat. Realize that, taken in perspective, the Lawrence/Wilde product is considered to be in the same league as Bartolinis and Nordstrands - at generally less than half their prices. Realize also that, as a mom & pop business (literally), you can't expect the same degree of corporate-level efficiency as you could from the Aguilar, DiMarzio, and all the rest. In my experience, this is simply one of the standard trade-offs of doing business with a small, boutique-level producer. It's just part of the way the world works.
IMO, if your priority is/was getting a new set of pickups into your bass within a tight, limited timeframe, then maybe the Aguilars was the way to go. However, if your priority is/was getting the right set of pickups into your bass, for the particular sound and performance you had in mind, and evidence suggested that the Lawrence/Wilde pickups would deliver that, then sticking with the order would still be the way to go.
If going with the Aguilars in any way represented a compromise of the tone and response that you really wanted, but you bought them anyway because you could get them fast, then six months from now would any of that really matter? Personally I advise taking the long view. IME, getting what you really want, the first time, is generally worth the wait - especially if you can't really live with the choice that you made instead. Over the long term, waiting for what you really want is generally the most efficient approach - as well as the most effective one.
MM