Range problems aside, I tend to think about very strong headwinds on descent as making a massive difference in the selection of my Descent Point. The other thought is that I'm likely to have a pretty significant crosswind as soon as I start to turn off the runway after landing. I realise that a really strong headwind during descent may not translate to such a strong wind at ground level but, in absence of an ATIS or even of ATC, I'll always think about the possibilities before landing.
Then again, the aeroplane I fly is a fairly light anyway.
The other thing I think about with string winds, in a general sense, is the potential for turbulence. Where I operate, there's a whole bunch of big hills around most every airport, so mechanical turbulence is often a worthy consideration. I've had some pretty interesting approaches, in strong turbulence, that usually aren't especially elegant.