The standard answer, as you say is "God wants people to be with him because he loves us very much". Some people do indeed find this a little simplistic, and on much more reflection, come to a deeper answer.
Your objection to the standard answer appears to be that in creating mankind some will not go to be with him, and will either be destroyed or go to Hell, and that this will cause God trouble, and the hurt of rejection. Thinking like that is entirely natural and human. We don't want to put ourselves out much, and we don't like the hurt of rejection. If we humans were asked to do this, we probably wouldn't. And most of us would say of a person who didn't do it: "That's OK. Who can blame them."
The thoughts you describe are very slightly selfish, and fortunately God is not selfish - not even the tiniest bit. His love is really so great that even the very large amount of trouble and rejection he suffers, he considers it worthwhile. Christians say things like "God love is so big we can't fathom it", and that sounds like a cliche much of the time, but when we consider things like this we realize just how big it really is (although even then it's bigger than we realize).
So yes, there is a deeper answer than the 'standard one', but in the end it boils down to the same answer - just looked at in a deeper way. The deeper answer is exactly the same as the standard one. This is the experience of Christian mystics throughout the ages. It is why John the Evangelist concentrated so much on love, especially God's love, in his writings.
By the way, there are branches of Christianity that believe that all people will eventually come to be with God, no matter how much they may resist. Opinion is also divided onwhether human souls might be destroyed rather than condemned.