Skipton Screwed Up LISA transfer

My wife and I both submitted applications to transfer our respective Help to Buy ISAs from Halifax to Skipton LISAs. Skipton confirmed receipt in time for their deadline, but then made mistakes with both our transfers and they were declined by Halifax.

When we were notified the transfer had been rejected, we each contacted Skipton the following day to sort the issue out and were each told the transfer would be resubmitted. Mine then went through without any further problem.

My wife heard nothing however, so she tried to chase Skipton. Several lengthy waits to their call centre ensued, with them providing misinformation, and not fulfilling promises to investigate and call back. Eventually my wife called Halifax (no problems getting through) who told her they had not received a resubmitted transfer request, nor any other communication from Skipton since the original incorrect request.

She's now raised a formal complaint, which took three attempts as they the first time they told her they would call back with a complaint reference number, which unsurprisingly never happened. The second time we completed their web form, which wasn't acknowledged. Finally my wife spoke to someone who raised the complaint, but they wouldn't give any further comment other than they expect it to take four to eight weeks to deal with as it's "complex".

My concern is we're now into May, so far past the transfer deadline that bonuses have been credited to accounts. Is there any way they can now actually resolve this now, or have they missed the boat with HMRC? I can't imagine Skipton would be keen to pay out a four figure sum if not, so we'd have to look at involving the ombusdman or taking them to court (or both).