Not concerned in the sense that you have to worry about whether you can pay the bills or put food on the table each month. But still needs to be budgeted, and a big expenditure like a car, wedding or new baby (loss of earnings on maternity leave) would wipe out a significant percentage of those savings.If
If you're concerned about your money when you have a grand in savings a month for relatively short time both children are as nursery then you have serious budgeting issues
For me, wealthy/well-off is where money just isn't something you ever worry about. I don't think that's the case for a family in that situation. Maybe it would be once the kids have grown up and the mortgage is much less or paid off.