I advised any of my friends who bought with a partner to sign (or at least outline) a co-ownership agreement. Reactions ranged from humour to great offence. None of them ever seriously considered it. I was not dealing professionally with any house sales (that's not my area) but I know that many solicitors did (and do) advise a co-ownership agreement but were/are blithely ignored. You even see threads on here giving out to people who *do* want to do a co-ownership agreement, saying that it's "unromantic" and the like. Madness.
There's only so much anyone can do to advise people who persist in ignoring such advice, do whatever they want to do regardless, and then seek to blame someone else when things go wrong. Solicitors (or anyone else) cannot stop people from doing things they are hell bent on doing.
This is not in any way related to OP (I'm v glad it worked out for you OP), but just a general comment on the fact that people really should listen to expert advice when they get it and, if they don't take it, take responsibility for the consequences.