Not sure about ‘take for a ride’ as you have, as you say, buried your head in the sand and also seen ‘I dependence’ as paying the rent.
So, let an unsatisfactory arrangement drift.
No doubt your partner does see the savings pit as a house for you both.
The problem is that the current system gives him all the security and you all the risk, in the event of a break up before you get the house.
I would suggest:
Make a list of all household bills and expenses.
Set up a joint account from which all joint expenses are paid: bills, rent, food etc.
Make a list of all your own expenses: anything daughter related, your car etc, pension, savings that are not deposit related.
Discuss with him a fair way to pay money into the joint account: pro rata to income / 50:50 / 59:50 with adjustment for your Dd or whatever.
This figure, plus the amount of your personal expenses, will inform how much you can save towards the house deposit.
Set up a house deposit savings account.
I would start the conversation from the POV of wanting to be more clear about saving for the deposit, and you being able to do that. Also setting up
a system of covering household expenditure that matches the reality.
If you are going to live together as a family you need to be able to talk about money, clearly and calmly.
Resentment about money bleeds a relationship to death, so it is worth dealing with it with honesty and openness.