The home does count, as you can either put the money into rent, investment accounts, or a mortgage. I'd consider a house more liquid than retirement accounts.
I still owe $170k on my mortgage but have $1M in net worth. It's all in retirement accounts; all on paper and subject to markets. I surely don't feel wealthy. I'm 45 and hopefully I can get it to $2M - $4M by late 60's. I still don't consider that rich since people woefully underestimate retirement needs.
I'm stating the Dave Ramsey steps to see if I can get the mortgage payed off over 4 years, and get $160k saved for 2x kids college.