You are going to have views of some awesome sunsets during the cooler months of the year!!
Since you LOVE the lot, then just put the size of the lanai out of your mind. It is what it is. Those sunsets and the wildlife will make up for it.
If it were me, I wouldn't buy lanai furniture until after I have moved in and developed a feel for how things flow. You might find that you could do w/out a larger table on the lanai, opting for more informal side tables instead. One of your neighbors to be has "extended" the lanai by setting up lawn chairs seating area outside of the lanai.
No. I'm not a stalker!
I live on Luraville and pass by your future street every day.