It depends on who, specifically, is supplying the laughs.
But yes, laughs have kind of gone through cycles and rotations since the 60s or so. Some laughs that were used in the early and mid 60s started resurfacing again in the late 70s, and in some cases, more recent shows like FRASIER and BECKER have a few laughs that originated in the 60s.
The original Laff Man himself, Charley Douglass, started recording laughs in the early 50s, but his business didn't really snowball until the late 50s, and over the years, he would record new laughs and other reactions, retire older laughs, then in a number of cases, retire newer reactions and revive older ones. And originally, his was the only company supplying sitcoms with laugh tracks, up till the late 70s, when one of his proteges, Carroll Pratt, spun off into his own company, since Charley's technology was growing outdated: this explains why it doesn't matter what studio produced the show, or what network it was one, they all had the same laugh tracks back in those days.