On the other hand, if the resume is all 1-3 year segments, yeah, there's no reason to think you're going to be different.
As a side effect, a good 10% of our employee base is at 10+ years (including me at 12) and around half the company is at 5+. Which is incredible considering the company is only 17 years old.
I tend to work pretty short stints at places, but in the vast majority of cases am shipping things to prod the first week or so and building and releasing revenue generating products in the first 6 months. Most of the places I've left, even after a short tenure, are continuing the work I started just fine and generally get lasting value from a even a year of my time.
With few exceptions, most of the teams I've left are sad to see me go, but that doesn't diminish the befit my time there has provided.
On the other hand most of the people I know that have worked 7+ years at a place aren't particularly engaged in the products and certainly aren't keeping up with major industry trends/changes/etc, and generally just go to work each morning without leaving much of an impact. Even at places like Google, most of the 10+ year people (with some notable exceptions) are the "rest and vest" types.
I'm starting to gear up for a job search myself, and I'm definitely going to be looking for quality places where I think the odds are good I can do another 10 year stretch happily. I don't job hob any more.