One other thing to consider is if you get insurance through your employer, you lose it as soon as you leave. Imagine if one of you has a long-term illness that puts you out of work before dying. All of the premiums paid by that spouse would be lost with no payout.
For myself, I have just enough supplemental insurance through my employer to cover funeral expenses for my wife (who is currently in school) and my kids, no supplemental insurance for myself. I should add a term life plan for me outside work, but have not done so yet.
Also, I think you can stack different durations to account for increased savings over time. For example, you might get a 10 year and a 20 year term life plan for 500K each. If you died in the first 10 years, your family would get 1M total. Hopefully in 10 years your savings has increased enough to live with a smaller insurance payout, but you could always add more coverage then, if needed.