Depending on how well they've been maintained just about anything might be better...
There's a bit of debate about discs vs calipers, it tends to come out that discs are generally better. I think I'm on pretty safe ground to say new discs will definitely beat 20 year old calipers.
Was it wet? Discs work better in the wet. Are there other things you could have done to anticipate the incident? Was it a case of pull on the brakes and continue to drift in to contact...
Oh, hybrids come with discs because it's (now marginally as more kit exists) easier to put discs on flat bars than drop bars and traditionally there is more of a consumer resistance with drop bar owners vs discs, possibly because they aren't allowed in road races yet.