As far as I can tell, and speaking with a couple of people in the know seems to bear this out, the only thing that'll stop deployment of it will be if the trials go very wrong. Cost savings of not having to do that final drop are still non-trivial even with the costs of the DP kit.
I've seen bar-charts that depict the relative costs for FTTC, FTTdp, FTTP and another option FTTW, though not specific to a UK rollout. Unfortunately, I can't find them at the mo.
Both FTTC and FTTdp are cheaper than FTTP in total rollout cost - simply because, for every DP box there will be 10-30 subscribers who don't get that final 100m of fibre. Each of which doesn't need an appointment for the final install, which seems to be the real problem.
To put the cost of those appointments into context, look at FTTW:
FTTW, where W=Wall, is a scenario where fibre goes to an external wall of every property. At the wall, an electronic box would be installed to convert back to copper for the final run inside the property - a domestic version of FTTB. The electronics would be an OLT and something like a single-channel modem for G.fast, so very similar to a small FTTdp box.
The advantage of FTTW would be that no appointments would need to be made with the householder, while the downside is obviously the addition of the extra box of tricks - more cost, more power problems, and more maintenance.
Those bar graphs showed that, in total, FTTW cost the same as FTTP!
That means the cost of each appointment is roughly the same as the long term cost of a small FTTdp box (CapEx + OpEx).
I'm pretty sure that FTTdp is going to be cheaper, and is highly likely to be perceived as a worthwhile step for a big chunk of the country.
So, as you say, the only thing likely to stop it is if it just doesn't work from a technical perspective.