I did ask one of my children if they could possibly invite a relative they hadn't thought of, and who, in the past, had been very kind to me. But it was just one couple, and although I wasn't formally paying, I had contributed plenty in the past, so it really wasn't an issue.
I wonder if inviting the relatives you would like would either spoil the balance of the wedding, or with similar relatives from the other side, escalate numbers.
A popular, current choice seems to be a small wedding, and a later, informal party.